Chapter 6 The Triangle and its Properties Notes Class 7th mathematics

Triangle

Triangle is a closed curve made up of three line segments. It has three vertices, sides and angles.

Triangle

Here, in ∆ABC,

  • AB, BC and CA are the three sides.
  • A, B and C are three vertices.
  • ∠A, ∠B and ∠C are the three angles.

Types of Triangle on the basis of sides

Types of Triangle on the basis of sides

Types of Triangle on the basis of angles

Types of Triangle on the basis of angles

Medians of a Triangle

Median is the line segment which made by joining any vertex of the triangle with the midpoint of its opposite side. Median divides the side into two equal parts.

Medians of a Triangle

Every triangle has three medians like AE, CD and BF in the above triangle.

The point where all the three medians intersect each other is called Centroid.

Altitudes of a Triangle

Altitude is the line segment made by joining the vertex and the perpendicular to the opposite side. Altitude is the height if we take the opposite side as the base.

Altitudes of a Triangle
  • The altitude form angle of 90°.
  • There are three altitudes possible in a triangle.
  • The point of intersection of all the three altitudes is called Orthocenter.

The Exterior Angle of a Triangle

If we extend any side of the triangle then we get an exterior angle.

  • An exterior angle must form a linear pair with one of the interior angles of the triangle.
  • There are only two exterior angles possible at each of the vertices.

Here ∠4 and ∠5 are the exterior angles of the vertex but ∠6 is not the exterior angle as it is not adjacent to any of the interior angles of the triangle.

Exterior Angle Property of the Triangle

An Exterior angle of a triangle will always be equal to the sum of the two opposite interior angles of the triangle.

Exterior Angle Property of the Triangle

Here, ∠d = ∠a + ∠b

This is called the Exterior angle property of a triangle.

Example

Find the value of “x”.

Solution

x is the exterior angle of the triangle and the two given angles are the opposite interior angles.

Hence,

x = 64°+ 45°

x = 109°

Angle Sum Property of a Triangle

This property says that the sum of all the interior angles of a triangle is 180°.

Angle Sum Property of a Triangle

Example

Find the value of x and y in the given triangle.

Triangle

Solution

x + 58° = 180° (linear pair)

x = 180° – 58°

x = 122°

We can find the value of y by two properties-

1. Angle sum property

60° + 58° + y = 180°

y = 180°- (60° + 58)

y = 62°

2. Exterior angle property

x = 60°+ y

122° = 60° + y

y = 122° – 60°

y = 62°

Two Special Triangles

1. Equilateral Triangle

It is a triangle in which all the three sides and angles are equal.

Equilateral Triangle

2. Isosceles Triangle

It is a triangle in which two sides are equal and the base angles opposite to the equal sides are also equal.

 Isosceles Triangle

Sum of the length of the two sides of a triangle

Sum of the length of the two sides of a triangle will always be greater than the third side, whether it is an equilateral, isosceles or scalene triangle.

Sum of the length of the two sides of a triangle

Example

Check whether it is possible to make a triangle using these measurements or not?

1. 3 cm, 4 cm, 7 cm

We have to check whether the sum of two sides is greater than the third side or not.

4 + 7 = 11

3 + 7 = 10

3 + 4 =7

Here the sum of the two sides is equal to the third side so the triangle is not possible with these measurements.

2. 2 cm, 5 cm, 6 cm

2 + 5 = 7

6 + 5 =11

6 + 2 = 8

Here the sum of the two sides is greater than the third side so the triangle could be made with these measurements.

Right Angled Triangle

A right-angled triangle is a triangle which has one of its angles as 90° and the side opposite to that angle is the largest leg of the triangle which is known as Hypotenuse .the other two sides are called Legs.

Right Angled Triangle

Pythagoras theorem

In a right angle triangle,

(Hypotenuse)2 = (base)2 + (height)2

The reverse of Pythagoras theorem is also applicable, i.e. if the Pythagoras property holds in a triangle then it must be a right-angled triangle.

Example

Find the value of x in the given triangle if the hypotenuse is 5 cm and height is 4 cm.

Pythagoras theorem

Solution

Given:

Hypotenuse = 5 cm

Height = 4 cm

Base = x cm

(Hypotenuse)2 = (base)2 + (height)2

52 = x2 + 42

x2 = 5– 42

x2 = 25 – 16

x = 9

x = 3 cm

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Chapter 5 Lines and Angles Notes Class 7th mathematics

Point

A point is a geometrical element which has no dimensions.

Point

Line

A line is a straight path which has no endpoints.

Line

Line Segment

A line segment is a straight path which has two endpoints.

Line Segment

Ray

A ray is a line which has one endpoint and endless from another side.

Ray

Angles

The corners made by the intersection of two lines or line segments are called Angles.

Angles

We write angle as ∠ABC in first figure and ∠XOY, ∠ZOW, ∠YOW and ∠XOZ are angles in the second figure.

Related Angles

1. Complementary Angles

If the sum of two angles is 90° then they are said to be complementary angles.

Complementary Angles

Or you can say that two angles which make up a right angle are called Complementary Angle.

2. Supplementary Angles

If the sum of two angles is 180° then they are said to be supplementary angles. If two angles are supplementary then they are the supplement to each other.

Supplementary Angles

3. Adjacent Angles

It is the pair of two angles which are placed next to each other.

Adjacent angles have-

  • A common vertex.
  • A common arm.
  • A non-common arm could be on either side of the common arm.
 Adjacent Angles

4. Linear Pair

A pair of adjacent angles whose non-common arm makes a single line i.e. they are the opposite rays.

A linear pair is also a pair of supplementary angles as their sum is 180°.

Linear Pair

The above pair of angles is –

  • Adjacent, as they have one common arm.
  • Supplementary, as the sum of two angles, is 180°.
  • The linear pair, as the sum is 180° and the non – common arms are opposite rays.

5. Vertically Opposite Angles

When two lines intersect each other then they form four angles. So that

  • ∠a and ∠b is pair of vertically opposite angles.
  • ∠n and ∠m is pair of vertically opposite angles.
Vertically Opposite Angles

Vertically opposite angles are equal.

Pairs of Lines

1. Intersecting Lines

If two lines touch each other in such a way that there is a point in common then these lines are called intersecting lines.

That common point is called a Point of Intersection.

Here, line l and m intersect each other at point C.

2. Transversal

If a line intersects two or more lines at different points then that line is called Transversal Line.

Transversal Line

3. Angles made by a transversal

When a transversal intersects two lines then they make 8 angles.

Angles made by a transversal

Some of the angles made by transversal-

Types of AnglesAngles shown in figure
Interior Angles∠6, ∠5, ∠4, ∠3
Exterior Angles∠7,∠8,∠1,∠2
Pairs of Corresponding Angles∠1 and ∠5,∠2 and ∠6, ∠3 and ∠7,∠4 and ∠8
Pairs of Alternate Interior Angles∠3 and ∠6,∠4 and ∠5
Pairs of Alternate Exterior Angles∠1 and ∠8,∠2 and ∠7
Pairs of Interior Angles on the same side of the transversal∠3 and ∠5,∠4 and ∠6

Transversal of Parallel Lines

The two lines which never meet with each other are called Parallel Lines. If we have a transversal on two parallel lines then-

Transversal of Parallel Linesa. All the pairs of corresponding angles are equal.

∠3 = ∠7

∠4 = ∠8

∠1 = ∠5

∠2 = ∠6

b. All the pairs of alternate interior angles are equal.

∠3 = ∠6

∠4 = ∠5

c. The two Interior angles which are on the same side of the transversal will always be supplementary.

∠3 + ∠5 = 180°

∠4 + ∠6 = 180°

Checking for Parallel Lines

This is the inverse of the above properties of the transversal of parallel lines.

  • If a transversal passes through two lines so that the pairs of corresponding angles are equal, then these two lines must be parallel.
  • If a transversal passes through two lines in so that the pairs of alternate interior angles are equal, then these two lines must be parallel.
  • If a transversal passes through two lines so that the pairs of interior angles on the same side of the transversal are supplementary, then these two lines must be parallel.

Example: 1

If AB ∥ PQ, Find ∠W.

CD parallel to AB and PQ

Solution:

CD parallel to AB and PQ passing through ∠WWe have to draw a line CD parallel to AB and PQ passing through ∠W.

∠QPW = ∠PWC = 50° (Alternate Interior Angles)

∠BAW =∠CWA = 46°(Alternate Interior Angles)

∠PWA = ∠PWC +∠CWA

= 50°+ 46°= 96°

Example: 2

If XY ∥ QR with ∠4 = 50° and ∠5 = 45°, then find all the three angles of the ∆PQR.

Angles

Solution:

Given:  XY ∥ QR

∠4 = 50° and ∠5 = 45°

To find: ∠1, ∠2 and ∠3

Calculation: ∠1 + ∠4 + ∠5 = 180° (sum of angles making a straight angle)

∠1 = 180°- 50°- 45°

∠1 = 85°

PQ is the transversal of XY and QR, so

∠4 = ∠2 (Alternate interior angles between parallel lines)

∠2 = 50°

Pr is also the transversal of XY and QR, so

∠5 = ∠3 (Alternate interior angles between parallel lines)

∠3 = 45°

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Chapter 4 Simple Equations Notes class 7th mathematics

Algebraic Expressions

It is an expression involving constant, variable and some operations like addition, multiplication etc.

Variable

Variable is an unknown number which could have a different numerical value. It is called Variable as it can vary.

It is represented by different letters like x, y, a, b etc.

Equation

An equation is a condition on a variable. It says that two expressions are equal.

Equation

Important Points Related to the Equation

  • One of the expressions must have a variable.
  • LHS of the equation is equal to the RHS of the equation.
  • An expression does not have equality sign but an equation always has an equality sign.
  • If we interchange the position of the expression from LHS to RHS or vice versa, the equation remains the same.

5x + 7 = 2

2 = 5x + 7

Both the above equations are same.

How to form equations using statements?

1. The sum of four times of x and 12 is equal to 35.

4x + 12 = 35

2. Half of a number is 3 more than 8.

Balanced Equation

When the LHS = RHS of an equation, then it is said to be a balanced equation.

Balanced Equation

1. If we add the same number to both the sides.

We can add the same number on both the sides of a balanced equation, the equation will remain the same.

12 – 8 = 3 + 1

If we add 3 to both the sides,

12 – 8 + 3 = 7

3 + 1 + 3 = 7

LHS = RHS

2. If we subtract the same number from both sides.

We can subtract the same number from both the sides of a balanced equation, the equation will remain the same.

12 – 8 = 3 + 1

If we subtract 3 from both the sides,

12 – 8 – 3 = 1

3 + 1 -3 = 1

LHS = RHS

3. If we multiply the same number to both the sides.

We can multiply the same number on both the sides of a balanced equation, the equation will remain the same.

12 – 8 = 3 + 1

If we multiply 3 to both the sides,

(12 – 8) × 3 = 36 – 24 = 12

(3 + 1) × 3 = 9 + 3 = 12

LHS = RHS

4. If we divide the same number from both sides.

We can divide the same number from both the sides of a balanced equation, the equation will remain the same.

12 – 8 = 3 + 1

If we divide both the sides by 2,

(12 – 8) ÷ 2 = 4 ÷ 2 = 2

(3 + 1) ÷ 2 = 4 ÷ 2 = 2

LHS = RHS

The Solution of an Equation

Any value of the variable which satisfies the equation is the solution of the equation.

There are two methods to solve an equation

1. By adding or subtracting the same number to both the sides of the equation as we have above seen that the equation will remain the same.

Example: 1

x + 11 = 35

Solution:

Subtract 11 from both the sides.

x + 11 – 11 = 35 – 11

x = 24

Here, x = 24 is the solution of the given equation.

Example: 2

25y = 125

Solution:

Divide both the sides by 25.

y = 5

1. Transposing Method

In this method, we transpose the numbers from one side of the equation to the other side so that all the terms with variable come on one side and all the constants come on another side.

While transposing the numbers the sign of the terms will get changed. i.e. Negative will become positive and positive will become negative.

Example

x + 11 = 35

Solution

Now we will transfer 11 from LHS to RHS and its sign will get reversed.

x = 35 – 11

x = 24

From a Solution to the Equation

As we solve the equation to get the solution, we can get the equation also if we have the solution.

Any equation has only one solution but if we make an equation from a solution then there could be many equations.

Example

Given x = 7

3x = 21 (multiply both sides by 3)

3x + 8 = 29 (add 8 to both the sides)

This is not the only possible equation. There could be other equations also.

Applications of Simple Equations to Practical Situations

If we have statements related to a practical situation then first we have to convert it in the form of the equation then solve it to find the solution.

Example: 1

Radha’s Mother’s age is 5 years more than three times Shikha’s age. Find Shikha’s age, if her mother is 44 years old.

Solution:

Let Shikha’s age = y years

Her mother’s age is 3y + 5 which is 44.

 Hence, the equation for Shikha’s age is 3y + 5 =44

3y + 5  = 44

3y = 44 – 5 (by transposing 5)

3y = 39

y = 13 (by dividing both sides by 3)

 Hence, Shikha’s age = 13 years

Example: 2

A number consists of two digits. The digit in the tens place is twice the digit in the units place. If 18 be subtracted from the number, the digits are reversed. Find the number.

Solution:

Let the digit at units place = y

So, the digit in the tens place = 2y

So, the number is (2y) y.

As it is given that if 18 is subtracted from the number, the digits are reversed. 

So, we have

(2y) y – 18 = y(2y)

10 × (2y) + 1 × y – 18 = 10 × y + 1 × (2y)

Solve it

20y + y – 18 = 10y + 2y

21y – 18 = 12y

21y – 18 = 12y

9y = 18 (By dividing both sides by 9)

y = 2

The digit at the units place is y = 2.

And the digit at the tens place is 2y

= 2 × 2

= 4

Hence the required number is 42.

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Chapter 3 Data Handling Notes class 7th Mathematics

Data

Any raw information which we collect to know about it and to compare certain things is called Data. This information is in the form of facts and figures and is collected for some specific purpose.

Example

  • Number of students in the class
  • The temperature in a state on daily basis.

Data Handling

We need to collect, organize and represent that data to draw inferences from it. This is called Data Handling.

Collecting Data

Collection of data depends upon the further requirement of the data. Before collecting any data we must know that what will be the use of data.

If we have to compare the marks of the toppers in different classes then we need the data of all the classes not only one class having any topper.

Organization of Data

Before using any data, first, we need to organize it in a systematic manner so that it could be understood easily. Generally, data is organized in tabular form as it is easy to read and understand.

Organization of Data

In this tabular form, we can easily understand that how many students get how much mark.

Representative Values

There must be a particular value which represents the complete data. This is the average of the data. The average lies between the smallest and the largest number of data so it is called Central tendency of the group of data.

There are three types of central tendency of data-

1. Arithmetic Mean

The mean is the average of the number of observations. To calculate mean we have to divide the sum of the values of the observations by the total number of observations.

Example

The score of 8 students in science is given. Find the average score of the students.

25, 28, 23, 24, 29, 35, 42, 48

Solution

Remark: This is not necessary that the value of mean will be from one of the observations.

Range

Arithmetic mean lies between the smallest and the largest observation. A range is a difference between the largest and the smallest observation.

Range = Largest Observation – Smallest Observation

Example

If the age of the students in a class is given then what will be the range of the given students?

Age of the students

2. Mode

For a different type of requirements different central tendencies are used.

Mode tells us the number of observation which occurs more frequently. The observation which occurs most of the time is called the Mode of that group.

Example

If we have the observation of average temperature in New Delhi for 12 months then find the month in which it has the maximum average temperature? What is the mode of the given observation?

MonthAverage Temperature
January18
February22
March24
April25
May25
June29
July27
August27
September27
October25
November21
December19

Solution

As you can see that the maximum average temperature is in the month of June.

Its mode will be 27 as it occurs more frequently i.e. three times.

Mode of a Large Number of Observations

If the number of observations is very large then we can convert the data in the tabular form using frequencies and tally marks. Then it will be easy to find the mode of the given data.

So you can check the number of observation which has a large number of frequency is the mode of that group.

Example

Find the mode of the data of scores obtained by students of class 7 in Sanskrit given below.

Solution

As you can see that the maximum average temperature is in the month of June.

Its mode will be 27 as it occurs more frequently i.e. three times.

Mode of a Large Number of observations

If the number of observations is very large then we can convert the data in the tabular form using frequencies and tally marks. Then it will be easy to find the mode of the given data.

So you can check the number of observation which has a large number of frequency is the mode of that group.

Example

Find the mode of the data of scores obtained by students of class 7 in Sanskrit given below.

ScoreNumber of Students
24
42
83
92
115
134
156
188

Solution

The mode is the 18 as the maximum number of students i.e. 8 students score 18.

3. Median

The middle value of the given number of the observations which divides it into exactly two parts is called Median.

To find the median, we have to arrange the data in ascending or descending order then find the middle value of the given number of observations that is the median of that group.

a. If the number of observation is odd

Number of observation is odd

b. If the number of observation is even

Number of observation is even

Example

Median

Use of Bar Graphs with a Different Purpose

 Bar graphs can be used for finding the measures of central tendency also, as we know the observation with the more frequency is the mode hence the bar with the tallest height must be the mode of the data.

Choosing a Scale

It is important to choose the scale according to the given data as the length of the bar depends upon the scale we choose.

Bar Graph

It is the representation of data with the use of bars of the same width and the length of bars depends upon the number of frequency.

Bar Graph

Here we can see that the highest number is 14 and the lowest number is 7 so we can take the scale of one.

By the graph, we can observe that jazz is the most preferred form of music by the students.

Double Bar Graph

This is the same as the bar graph just the two bars are joined off to represent two data on the same graph. This is used to compare certain information.

Example

Represent the number of wild animals found in two states given below in double bar graph.

Wild AnimalsKarnatakaTamil Nadu
Lion2018
Tiger1620
Elephant3025
Rhino 1522
Zebra2528

Solution

Double Bar Graph
  • Here we have chosen a scale of 5.
  • The x-axis represents the name of wild animals.
  • Y-axis represents the number of wild animals.
  • The blue bar represents the number of animals in Karnataka.
  • Pink bars represent the number of animals in Tamil Nadu.

This double bar graph is used to compare the number of animals in different states.

Chance and Probability

Chance

In our day to day life, there are so many situations when we say that this is impossible, or this is possible, or this may or may not possible. So the situations which may or may not happen have the chance to happen.

Chance
  • This shows that it is not possible to throw 14 in the combination of two dices.
  • It is certain that the sun will rise.
  • It may or may not happen that a head has come when we flip a coin. As both, the head and tail have an equal chance.

Probability

Probability is the study of uncertainty The uncertainty of any doubtful situation is measured by means of Probability.

This tells us the chance of happening some outcomes from the total possible outcomes.

Probability

Example

If we throw a dice then what is the probability that we will get a 5?

Dice

Solution

Probability

Favourable outcome = 1 (there is only one possibility of getting 5)

Total no. of possible outcomes = 6 (total six numbers are there on a dice)

Probability of getting 5 = 1/6

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Chapter 1 Knowing Our Numbers Class 6 Quick revision Notes Maths

Numbers

• Symbols used for counting and measuring the objects are called numbers.

• A group of digits, denoting a number, is called a numeral.

• Writing a number in words is called numeration.

• 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are called digits or figures.

• Counting Numbers are called natural numbers.

• Counting Numbers alongwith zero is called whole numbers.

• Successor: The number that comes just after a given number. Example: Successor of 7 = 7+1=8

• Predecessor: The number that comes just before a given number. Example: Predecessor of 7 = 7 -1 = 6

Comparing Numbers

• The number with more digits > number with less digits. For example, 215 > 81.

• If two numbers have the same number of digits, then compare the digits on the extreme left and decide. If the extreme left digits are the same, compare the next digits to the right, and so on… For example: 57405926> 57405921.

• Ascending order means arrangement from the smallest to the greatest.

• Descending order means arrangement from the greatest to the smallest.

• The smallest four digit number is 1000 (one thousand). It follows the largest three digit number 999. 

• The smallest five digit number is 10,000. It is ten thousand and follows the largest four digit number 9999.

• The smallest six digit number is 100,000. It is one lakh and follows the largest five digit number 99,999. This carries on for higher digit numbers in a similar manner.

Indian System of Numeration

• We use ones, tens, hundreds, thousands, lakhs and crores.

• Commas are used to mark thousands, lakhs, and crores. For example: 3, 32, 40, 781 – Three crore thirty two lakh forty thousand seven hundred eighty one.

• Face value of a digit : The face value of a digit remains as it is, whatever place it may be occupying in the place value chart.

• Place value of a digit : The place value of digit in a numeral depends upon the place it occupies in the place value chart.

• Place value of a digit in a number = Face value × Position value.

International System of Numeration

• We use ones, tens, hundreds, thousands and millions. To express numbers larger than a million, a billion is used. 1 billion = 1,000 million.

• Commas are used to mark thousands and millions. For example: 3, 32, 40, 781 – Thirty three million two hundred forty thousand seven hundred eighty-one.

Large Numbers in Practice

Length

• 1 kilometre = 1000 metre

• 1 metre = 10 decimetre = 100 centimetre = 1000 millimetre

Mass

• 1 kilogram = 1000 grams

• 1 gram = 10 decigram = 100 centigram = 1000 milligram.

Capacity

• 1 litre = 10 decilitre = 100 centilitre = 1000 millilitre

Estimation (Rounding Off)

Nearest 10

• If the digit in the units place is less than 5, then the units digit is replaced by 0.

• If the digit in units place is greater or equal to 5, then the unit place is replaced by zero and tens place is increased by 1.

Nearest 100

• If the digit in the tens place < 5, then the tens and units place are replaced by zero.

• If the digit in the tens place is equal to or > 5 then the tens and units place is replaced by zero and the hundreds place is increased by 1.

Nearest 1000

• If the digit in the hundreds place is < 5, then the hundreds, tens and units place is replaced by 0.

• If the digit in the hundreds place is equal to or > 5, then the hundreds, tens and units place is replaced by 0 and the thousands place is increased by 1.

Roman Numerals

• Roman numerals are one of the early systems of writing numerals.

I = 1

II = 2

III = 3

IV= 4

V = 5

X = 10

L = 50

C = 100

D = 500

M = 1000

Rules of Roman Numeral System

• If a symbol is repeated, its value is added as many times as it occurs.

• A symbol is not repeated more than three times. But the symbols V, L and D are never repeated.

• If a symbol of smaller value is written to the right of a symbol of greater value, its value gets added to the value of greater symbol.

• If a symbol of smaller value is written to the left of a symbol of greater value, its value is subtracted from the value of the greater symbol.

• The symbols V, L and D are never written to the left of a symbol of greater value, i.e. V, L and D are never subtracted. The symbol I can be subtracted from V and X only. The symbol X can be subtracted from L, M and C only.

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NCERT | CLASS 11 Recording of Transactions – I | IMPORTANT QUESTIONS

Question 1 : What is the purpose of posting J.F numbers that are entered in the journal at the time entries are posted to the accounts?

ANSWER:

J.F. number is the number that is entered in the ledger at the time of posting entries into their respective accounts. It helps in determining whether all transactions are properly posted in their accounts. It is recorded at the time of posting and not at the time of recording the transactions.

The purpose of entering the J.F. number in the ledger is because of the below-given benefits.

  1. J.F. number helps in locating the entries of accounts in the journal book. In other words, J.F number helps to locate the position of the related journal entry and subsidiary book in the journal book.
  2. J.F. number in accounts ensures that recording in the books of original entry has been posted or not.

Question 2 : Describe how debits and credits are used to analyse transactions.

ANSWER:

Debit originated from the Italian word debito, which in turn is derived from the Latin word debeo, which means ‘owed to proprietor’ and credit comes from the Italian word credito, which is derived from the Latin word credo, which means belief, i.e., ‘owed by proprietor’.

According to the dual aspect concept, all the business transactions that are recorded in the books of accounts, have two aspects- debit and credit. The dual aspect can be better understood with the help of an example; bought goods worth Rs 500 on cash. This transaction affects two accounts with the same amount simultaneously. As goods are brought in exchange of cash, so the cash balances in the business reduce by Rs 500, i.e. why the cash account is credited. Simultaneously, the amount of goods increases by Rs 500, so the purchases account will be debited. Debit and credit depend on the nature of accounts involved; such as assets, expenses, income, liabilities, and capital. There are five types of Accounts.

  1. Assets These include all properties or legal rights owned by a firm for its operations, such as cash in hand, plant and machinery, bank, land, building, etc. All assets have debit balance. If assets increase, they are debited and if assets decrease, they are credited.

For example, furniture purchased and payment made by cheque. The journal entry is:

Furniture A/cDr.
To Bank A/c 

Here, furniture and bank balance, both are assets to the firm. As furniture is purchased, so furniture account will increase and will be debited. On the other hand, payment of furniture is being made by cheque that reduces the bank balance of the business, so bank account will be credited.

  1. Expense− It is made to run business smoothly and to carry day to day business activites.

All expenses have a debit balance. If an expense is incurred, it must be debited.

For example, rent paid. The journal entry is:

Rent A/cDr.
To Cash A/c 

Here, rent is an expense. All expenses have a debit balance. Hence, rent is debited. On the other hand, as rent is paid in cash that reduces the cash balances, so the cash account is credited.

  1. Liability− Liability is an obligation of business. Increase in liability is credited and decrease in liability is debited.

For example, a loan taken from the bank. The journal entry is:

Bank A/cDr.
To Bank Loan A/c 

Here, a loan from the bank is a liability to the firm. As all liabilities have a credit balance, so loan from the bank has been credited because it increases the liabilities.

  1. Income− Income means profit earned during an accounting period from any source. Income also means excess of revenue over its cost during an accounting period. Income has credit balance because it increases the balance of capital.

For example, rent received from the tenant. The journal entry is:

Cash A/cDr.
To Rent A/c 

Here, rent is an income; hence, the rent account has been credited and cash has been debited, as rent received increases the cash balances.

  1. Capital− Capital is the amount invested by the proprietor in the business. Capital has credit balance. Increase in capital is credited and decrease in capital is debited

For example, additional capital is introduced by the owner. The journal entry is:

Cash A/cDr.
To Capital A/c 

As additional capital is introduced, so the amount of capital will increase, i.e. why, the capital account is credited. On the other hand, as capital is introduced in form of cash, so the cash balances decrease, i.e. why, the cash account is debited.

Question 3 : Differentiate between source documents and vouchers.

ANSWER :

Basis of DifferenceSource DocumentsVouchers
MeaningIt refers to the documents in writing, containing the details of events or transactions.When a source document is considered as evidence of an event or transaction, then it is called a voucher.
PurposeIt is used for preparing accounting vouchers.It is used for analyzing transactions.
RecordingIt acts as a basis for preparing an accounting voucher that helps in the recording.It acts as a basis for recording transactions.
PreparationIt is prepared at the time when an event or a transaction occurs.It can be prepared either when an event or a transaction occurs, or later on.
Legality/ValidityIt can be used as evidence in a court of law.It can be used for assessing the authentication of transactions.
Prepared ByIt is prepared by the persons who are directly involved in the transactions, or who are authorized to prepare or approve these documents.It is prepared by authorized persons or by accountants.
ExamplesCash memo, invoice, and pay-in-slip, etc.Cash memo, invoice, pay-in-slip (if used as evidence), debit note, credit note, cash vouchers, transfer vouchers, etc.

Question 4:

Prepare accounting equation on the basis of the following:

(a) Harsha started the business with cash of Rs 2,00,000

(b) Purchased goods from Naman for cash Rs 40,000

(c) Sold goods to Bhanu costing Rs 10,000/- Rs 12,000

(d) Bought furniture on credit Rs 7,000

ANSWER :

S.No.ExplanationAssets=Liabilities+Capital
Cash+Stock+Debtors+FurnitureCreditors  
(a)Increase in cash2,00,000      =   
 Increase in capital          2,00,000
  2,00,000      =NIL+2,00,000
(b)Increase in stock  40,000        
 Decrease in cash(40,000)          
  1,60,000+40,000    =NIL+2,00,000
(c)Increase in debtors    12,000      
 Decrease in stock  (10,000)        
 Profit          2,000
  1,60,000+30,000+12,000  =NIL 2,02,000
(d)Increase in furniture      7,000    
 Increase in creditors        7,000  
  1,60,000+30,000+12,000+7,000=7,000+2,02,000
             

Question 5 :

Show the accounting equation on the basis of the following transaction:

(a)Udit started business with:Rs
 (I) Cash 5,00,000
 (ii) Goods 1,00,000
(b)Purchased building for cash2,00,000
(c)Purchased goods from Himani 50,000
(d)Sold goods to Ashu (Cost Rs 25,000) 36,000
(e)Paid insurance premium 3,000
(f)Rent outstanding 5,000
(g)Depreciation on building 8,000
(h)Cash withdrawn for personal use 20,000
(i)Rent received in advance 5,000
(j)Cash paid to Himani on account 20,000
(k)Cash received from Ashu 30,000

ANSWER :

S.No.ExplanationAssets=Liabilities+Capital
Cash+Stock+Building+Debtors Creditors+Outstanding Expenses+Unaccrued Income  
(a)Increase in cash5,00,000              
 Increase in stock  1,00,000            
 Increase in capital              6,00,000
  5,00,000+1,00,000    =NIL    +6,00,000
(b)Increase in building    2,00,000          
 Decrease in cash(2,00,000)       =       
  3,00,000+1,00,000+2,00,000  =NIL    +6,00,000
(c)Increase in stock  50,000            
 Increase in creditors       =50,000      
  3,00,000+1,50,000 +2,00,000  =50,000    +6,00,000
(d)Increase in debtors       36,000        
 Decrease in stock  (25,000)            
 Increase in the capital (Profit)              11,000
  3,00,000+1,25,000+2,00,000+ 36,000=50,000    +6,11,000
(e)Decrease in cash(3,000)              
 Decrease in the capital (Expense)              (3,000)
  2,97,000+1,25,000+2,00,000+36,000=50,000+   +6,08,000
(f)Decrease in the capital (Expense)          5,000    
 Increase in liabilities              (5,000)
  2,97,000+1,25,000+2,00,000+36,000=50,000+5,000  +6,03,000
(g)Decrease in building    (8,000)          
 Decrease in capital              (8,000)
  2,97,000+1,25,000+1,92,000+36,000=50,000+5,000  +5,95,000
(h)Decrease in cash(20,000)              
 Decrease in capital              (20,000)
  2,97,000+1,25,000+1,92,000+36,000=50,000+5,000  +5,75,000
(i)Increase in cash5,000              
 Increase in liability            5,000  
  2,82,000+1,25,000+1,92,000+36,000=50,000+5,000+5,000+5,75,000
(j)Decrease in creditors        (20,000)      
 Decrease in cash(20,000)              
  2,62,000+1,25,000+1,92,000+36,000=30,000+5,000+5,000+5,75,000
(k)Increase in cash30,000              
 Decrease in debtors      (30,000)        
  2,92,000+1,25,000+1,92,000+6,000=30,000+5,000+5,000+5,75,000
                 

Question 6: Describe the events recorded in accounting systems and the importance of
source documents in those systems?

ANSWER :

It is beyond human capabilities to memorize each financial transaction and that is why source documents have their own importance in the accounting system. They are
considered as evidence of transactions and can be presented in a court of law.
Transactions supported by evidence can be verified. Source documents also ensure
that transactions recorded in the books are free from personal biases.
A few events that are supported by the source document are given below.
1. Sale of goods worth Rs 200 on credit, supported by sales invoice/bill
2. Purchase of goods worth Rs 500 on credit, supported by purchase invoice/bill
3. Cash sales worth Rs 1,000, supported by cash memo
4. Cash purchase of goods worth Rs 400, supported by cash memo

5. Goods worth Rs 100 returned by the customer, supported by credit note
6. Return of goods purchased on credit worth Rs 200, supported by debit note
7. Payment worth Rs 1,200 through the bank, supported by cheques
8. Deposits into bank worth Rs 500, supported by pay-in slips.
Out of the above events, only those events that can be expressed in monetary terms,
are recorded in the books of accounts. However, the non-monetary events
are not recorded in accounts; for example, the promotion of the manager cannot be recorded
but an increment in salary can be recorded at the time when salary is paid or due.
Source document in accounting is important because of the below-given reasons.
1. It provides evidence that the transaction has actually occurred.
2. It provides information about the date, amount and parties involved, and other details of a particular transaction.
3. It acts as evidence in a court of law.
4. It helps in verifying the transaction during the auditing process.

Question 7 :

Journalise the following transactions is the journal of M/s. Goel Brothers and post them to the ledger.

2017 Rs
Jan. 01Started business with cash1,65,000
Jan. 02Opened bank account in PNB80,000
Jan. 04Goods purchased from Tara22,000
Jan.05Goods purchased for cash30,000
Jan.08Goods sold to Naman12,000
Jan.10Cash paid to Tara22,000
Jan.15Cash received from Naman11,700
 Discount allowed300
Jan. 16Paid wages200
Jan. 18Furniture purchased for office use5,000
Jan. 20Withdrawn from the bank for personal use4,000
Jan. 22Issued cheque for rent3,000
Jan. 23Goods issued for household purpose2,000
Jan. 24Drawn cash from the bank for office use6,000
Jan. 26Commission received1,000
Jan. 27Bank charges200
Jan. 28Cheque is given for insurance premium3,000
Jan. 29Paid salary7,000
Jan. 30Cash sales10,000

ANSWER:

Books of M/s Goel Brothers
Journal
Date Particulars L.F.Debit Amount RsCredit Amount Rs
2017      
Jan.01Cash A/cDr. 1,65,000 
  To Capital A/c   1,65,000
 (Started business with cash)    
       
Jan.02Bank A/cDr. 80,000 
  To Cash A/c   80,000
 (Bank account opened with PNB)    
       
Jan.04Purchases A/cDr. 22,000 
  To Tara   22,000
 (Goods purchased from Tara)    
       
Jan.05Purchases A/cDr. 30,000 
  To Cash A/c   30,000
 (Goods purchased for cash)    
       
Jan.08NamanDr. 12,000 
  To Sales A/c   12,000
 (Sale of goods to Naman)    
       
Jan.10TaraDr. 22,000 
  To Cash A/c   22,000
 (Cash paid to Tara)    
       
Jan.15Cash A/cDr. 11,700 
 Discount Allowed A/cDr.      300 
  To Naman   12,000
 (Cash received from Naman and discount allowed)    
       
Jan.16Wages A/cDr. 200 
  To Cash A/c   200
 (Wages paid)    
       
Jan.18Furniture A/cDr. 5,000 
  To Cash A/c   5,000
 (Furniture purchased for cash)    
       
Jan.20Drawings A/cDr. 4,000 
  To Bank A/c   4,000
 (Cash drawn from bank for personal use)    
       
Jan.22Rent A/cDr. 3,000 
  To Bank A/c   3,000
 (Rent paid through cheque)    
       
Jan.23Drawings A/cDr. 2,000 
  To Purchases A/c   2,000
 (Goods drawn for household  purpose)    
       
Jan.24Cash A/cDr. 6,000 
  To Bank A/c   6,000
 (Cash drawn from the bank)    
       
Jan.26Cash A/cDr. 1,000 
  To Commission A/c   1,000
 (Commission received)    
       
Jan.27Bank Charges A/cDr. 200 
  To Bank A/c   200
 (Bank charged charges)    
       
Jan.28Insurance A/cDr. 3,000 
  To Bank A/c   3,000
 (Insurance paid through cheque)    
       
Jan.29Salaries A/cDr. 7,000 
  To Cash A/c   7,000
 (Salary paid)    
       
Jan.30Cash A/cDr. 10,000 
  To Sales A/c   10,000
 (Cash received for the sale of goods)    
  Total  3,84,4003,84,400
       
        
Ledger
 
Cash Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.AmountRs
2017   2017   
Jan.01Capital 1,65,000Jan.02Bank 80,000
Jan.15Naman 11,700Jan.05Purchases 30,000
Jan.24Bank 6,000Jan.10Tara 22,000
Jan.26Commission 1,000Jan.16Wages 200
Jan.30Sales 10,000Jan.18Furniture 5,000
    Jan.29Salaries 7,000
    Jan.31Balance c/d 49,500
        
   1,93,700   1,93,700
        
Capital Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
    Jan.01Cash 1,65,000
Jan.31Balance c/d 1,65,000    
   1,65,000   1,65,000
        
Bank Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.02Cash 80,000Jan.20Drawings 4,000
    Jan.22Rent 3,000
    Jan.24Cash 6,000
    Jan.27Bank charges 200
    Jan.28Insurance 3,000
    Jan.31Balance c/d 63,800
   80,000   80,000
        
Tara’s Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.10Cash 22,000Jan.04Purchases 22,000
        
   22,000   22,000
        
Purchases Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.04Tara 22,000Jan.23Drawings 2,000
Jan.05Cash 30,000Jan.31Balance c/d 50,000
        
   52,000   52,000
        
Sales Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
    Jan.08Naman 12,000
Jan.31Balanced c/d 22,000 Jan.30Cash 10,000
        
   22,000   22,000
        
Naman’s Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.08Sales 12,000Jan.15Cash 11,700
    Jan.15Discount Allowed 300
   12,000   12,000
        
Discount Allowed Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.15Naman 300    
    Jan.31Balance c/d 300
   300   300
        
Wages Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.16Cash 200    
    Jan.31Balance c/d 200
   200   200
        
Furniture Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.18Cash 5,000    
    Jan.31Balance c/d 5,000
   5,000   5,000
        
Drawings Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.20Bank 4,000    
Jan.23Purchases 2,000Jan.31Balance c/d 6,000
        
   6,000   6,000
        
         
Rent Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.22Bank 3,000    
    Jan.31Balance c/d 3,000
   3,000   3,000
        
Commission Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
    Jan.26Cash 1,000
Jan.31Balance c/d 1,000    
   1,000   1,000
        
Bank Charges Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.27Bank 200    
    Jan.31Balance c/d 200
   200   200
        
Insurance Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.AmountRs
2017   2017   
Jan.28Bank 3,000    
    Jan.31Balance c/d 3,000
   3,000   3,000
        
Salaries Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.29Cash 7,000    
    Jan.31Balance c/d 7,000
   7,000   7,000
        

Question 8:

Journalize the following transaction in the books of Sanjana and post them into the ledger:

January 2017 Rs
1Cash in hand6,000
2Cash at bank55,000
Stock of goods40,000
4Due to Rohan6,000
Due from Tarun10,000
6Sold goods to Karuna15,000
7Cash sales10,000
8Goods sold to Heena 5,000
9Purchased goods from Rupali30,000
10Goods returned from Karuna2,000
11Cash received from Karuna13,000
12Cheque given to Rohan6,000
13Cash received from Heena3,000
14Cheque received from Tarun10,000
15Cheque received from to Heena2,000
16Cash given to Rupali18,000
17Paid cartage1,000
18Paid salary8,000
19Cash sale7,000
20Cheque given to Rupali12,000
21Sanjana took goods for Personal use4,000
22Paid General expense500

ANSWER:

Books of Sanjana
Journal Entries
S.No. Particulars L.F.Debit Amount RsCredit Amount Rs
2017     
Jan.01Cash A/cDr. 6,000 
 Bank A/cDr. 55,000 
 Stock A/cDr. 40,000 
 TarunDr. 10,000 
  To Rohan   6,000
  To Capital A/c   1,05,000
 (Balance brought from the last month)    
       
Jan.03KarunaDr. 15,000 
  To Sales A/c   15,000
 (Goods sold to Karuna)    
       
Jan.04Cash A/cDr. 10,000 
  To Sales A/c   10,000
 (Goods sold for cash)    
       
Jan.06HeenaDr. 5,000 
  To Sales A/c   5,000
 (Goods sold to Henna)    
       
Jan.08Purchases A/cDr. 30,000 
  To Rupali   30,000
 (Goods purchased from Rupali)    
       
Jan.10Sales Return A/cDr. 2,000 
  To Karuna   2,000
 (Goods returned by Karuna)    
       
Jan.14Cash A/cDr. 13,000 
  To Karuna   13,000
 (Cash received from Karuna)    
       
Jan.15RohanDr. 6,000 
  To Bank A/c   6,000
 (Cheque issued to Rohan)    
       
Jan.16Cash A/cDr. 3,000 
  To Heena   3,000
 (Cash received from Heena)    
       
Jan.20Bank A/cDr. 10,000 
  To Tarun   10,000
 (Cheque received from Tarun)    
       
Jan.22Bank A/cDr. 2,000 
  To Heena   2,000
 (Cheque received from Heena)    
      
Jan.25RupaliDr. 18,000 
  To Cash A/c   18,000
 (Payment made to Rupali)    
       
Jan.26Cartage A/cDr. 1,000 
  To Cash A/c   1,000
 (Cartage paid)    
       
Jan.27Salaries A/cDr. 8,000 
  To Cash A/c   8,000
 (Salaries paid)    
       
Jan.28Cash A/cDr. 7,000 
  To Sales A/c   7,000
 (Goods sold for cash)    
       
Jan.29RupaliDr. 12,000 
  To Bank A/c   12,000
 (Cheque issued to Rupali)    
       
Jan.30Drawings A/cDr. 4,000 
  To Purchases A/c   4,000
 (Goods drawn for personal use)    
      
Jan.31General Expenses A/cDr. 500 
  To Cash A/c   500
      
 Total  2,57,5002,57,500
      
Ledger
 
Cash Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.01Balance b/d 6,000Jan.25Rupali 18,000
Jan.04Sales 10,000Jan.26Cartage 1,000
Jan.14Karuna 13,000Jan.27Salaries 8,000
Jan.16Heena 3,000Jan.31General Expenses 500
Jan.28Sales 7,000Jan.31Balance c/d 11,500
   39,000   39,000
        
Capital Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.AmountRs
2017   2017   
    Jan.01 Balance b/d 1,05,000
Jan.31Balance c/d 1,05,000    
   1,05,000   1,05,000
        
Bank Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.01Balance b/d 55,000Jan.15Rohan 6,000
Jan.20Tarun 10,000Jan.29Rupali 12,000
Jan.22Heena 2,000Jan.31Balance c/d 49,000
        
   67,000   67,000
        
Stock Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.01Balance b/d 40,000    
    Jan.31Balance c/d 40,000
   40,000   40,000
        
Rohan’s Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.15Bank 6,000Jan.01Balance b/d 6,000
        
   6,000   6,000
        
Tarun’s Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.01Balance b/d 10,000Jan.20Bank 10,000
        
   10,000   10,000
        
Sales Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
    Jan.03Karuna 15,000
    Jan.04Cash 10,000
    Jan.06Heena 5,000
Jan.31Balance c/d 37,000Jan.28Cash 7,000
   37,000   37,000
        
Karuna’s Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.03Sales 15,000Jan.10Sales Return 2,000
    Jan.14Cash 13,000
   15,000   15,000
        
Heena’s Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.06Sales 5,000Jan.16Cash 3,000
    Jan.22Bank 2,000
   5,000   5,000
        
Purchases Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.08Rupali 30,000Jan.30Drawings 4,000
    Jan.31Balance c/d 26,000
   30,000   30,000
        
Rupali’s Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.25Cash 18,000Jan.08Purchases 30,000
Jan.29Bank 12,000    
   30,000   30,000
        
Sales Return Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.10Karuna 2,000    
    Jan.31Balance c/d 2,000
   2,000   2,000
        
Cartage Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.26Cash 1,000    
    Jan.31Balance c/d 1,000
   1,000   1,000
        
Salaries Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.27Cash 8,000    
    Jan.31Balance c/d 8,000
   8,000   8,000
        
Drawings Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.30Purchases 4,000    
    Jan.31Balance c/d 4,000
   4,000   4,000
        
General Expenses Account
Dr.      Cr.
DateParticularsJ.F.Amount RsDateParticularsJ.F.Amount Rs
2017   2017   
Jan.31Cash 500    
    Jan.31Balance c/d 500
   500   500
        

Question 9: What entry (debit or credit) would you make to

  1. increase revenue,
  2. decrease in expense
  3. record drawings,
  4. record the fresh capital introduced by the owner.

ANSWER :

  1. The following entry will be made in the above case
    1. Increase Revenue-Revenue account have always credit balance so credit entry will be made to record increase in revenue.
    2. Decrease in Expense- Expense account always have a debit balance so credit entry will be made to record decrease in expenses.
    3. Record Drawings- Drawings is a reduction of capital balance so debit entry will be made in capital account to record drawings.
    4. Record the fresh Capital Introduced by the Owner- Capital account always have a credit balance so credit entry will be made to record increase in capital.

Question 10: Describe the events recorded in accounting systems and the importance of
source documents in those systems?

Answer: It is beyond human capabilities to memorize each financial transaction and that is why source documents have their own importance in the accounting system. They are
considered as evidence of transactions and can be presented in the court of law.
Transactions supported by evidence can be verified. Source documents also ensure
that transactions recorded in the books are free from personal biases.
A few events that are supported by the source document are given below.
1. Sale of goods worth Rs 200 on credit, supported by sales invoice/bill
2. Purchase of goods worth Rs 500 on credit, supported by purchase invoice/bill
3. Cash sales worth Rs 1,000, supported by cash memo
4. Cash purchase of goods worth Rs 400, supported by cash memo

5. Goods worth Rs 100 returned by the customer, supported by credit note
6. Return of goods purchased on credit worth Rs 200, supported by debit note
7. Payment worth Rs 1,200 through the bank, supported by cheques
8. Deposits into bank worth Rs 500, supported by pay-in slips.
Out of the above events, only those events that can be expressed in monetary terms,
are recorded in the books of accounts. However, the non-monetary events
are not recorded in accounts; for example, the promotion of the manager cannot be recorded
but an increment in salary can be recorded at the time when salary is paid or due.
Source document in accounting is important because of the below-given reasons.
1. It provides evidence that the transaction has actually occurred.
2. It provides information about the date, amount and parties involved, and other details of a particular transaction.
3. It acts as evidence in a court of law.
4. It helps in verifying the transaction during the auditing process.

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NCERT | CLASS 11 Theory Base of Accounting | IMPORTANT QUESTIONS

Question 1: What is matching concept? Why should a business concern follow this concept? Discuss?

ANSWER:

Matching Concept states that all expenses incurred during the year, whether paid or not and all revenues earned during the year, whether received or not, should be taken into account while determining the profit of that year. In other words, expenses incurred in a period should be set off against revenues earned in the same accounting period for ascertaining profit or loss. For example, insurance premium paid for a year is Rs1200 on July 01 and if accounts are closed on March 31, every year, then the insurance premium of the current year will be ascertained for nine months (i.e. from July to March) and will be calculated as,

Rs 1200 − Rs 900 = Rs 300

Thus, according to the matching concept, the expense of Rs 900 will be taken into account and not Rs 1200 for determining profit, as the benefit of only Rs 900 is availed in the current accounting period.

The business entities follow this concept mainly to ascertain the true profit or loss during an accounting period. It is possible that in the same accounting period, the business may either pay or receive payments that may or may not belong to the same accounting period. This leads to either overcasting or undercasting of the profit or loss, which may not reveal the true efficiency of the business and its activities in the concerned accounting period. Similarly, there may be various expenditures like purchase of machinery, buildings, etc. These expenditures are capital in nature and their benefits can be availed over a period of time. In such cases, only the depreciation of such assets is treated as an expense and should be taken into account for calculating profit or loss of the concerned year. Thus, it is very necessary for any business entity to follow the matching concept.

Question 2: What is the money measurement concept? Which one factor can make it difficult to compare the monetary values of one year with the monetary values of another year?

Answer:

Money Measurement Concept states that only those transactions and events are recorded in accounting that is capable of being expressed in terms of money. An event even though may be very important for business, will not be recorded in the books of accounts unless its effect can be measured in terms of money. For Example, a business has 5 machines then this thing cannot be added up unless expressed in terms of money. In order to record this item, we must have to express it in monetary terms say Rs. 1,00,000. Thus, the money measurement concept enables consistency in maintaining accounting records.
But on the other hand, the adherence to the money measurement concept makes it difficult to compare the monetary values of one period with that of another. It is because of the fact that the money measurement concept ignores the changes in the purchasing power of the money, i.e. only the nominal value of money is concerned with and not the real value. What Rs 1 could buy 10 years back cannot buy today; hence, the nominal value of money makes comparison difficult. In fact, the real value of money would be a more appropriate measure as it considers the price level (inflation), which depicts the changes in profits, expenses, incomes, assets, and liabilities of the business.

Question 3: International Financial Reporting Standards (IFRS):-

Answer:

Globalization has unified different economies of the world. Enterprises are carrying on business worldwide. As accounting is the language of business, different enterprises around the world should not be speaking different languages in their financial statements. It will be very difficult to understand and compare these statements.
International Financial Reporting Standards (IFRS) are issued by the International Accounting Standard Board (IASB). IASB replaced International Accounting. Standard Committee (LASC) in 2001.LASC was formed in 1973 to develop accounting standards that have global acceptance and make different accounting statements of different countries similar and comparable.
Assumptions in IFRS:-
The underlying assumptions in IFRS are as follows:

  1. Measuring Unit Assumption:- Current purchasing power is the measuring unit which means that assets in the balance sheet are shown at current or fair value and not at historical cost.
  2. Constant Purchasing Power Assumption:- It means that the value of capital is to be adjusted for inflation at the end of the financial year.
  3. Accrual Assumption:- Transactions are recorded as and when they occur and the date of settlement is irrelevant.
  4. Going Concern Assumption:- It is assumed that the life of the business is infinite.

Question 4 : What is the money measurement concept? Which one factor can make it difficult to compare the monetary values of one year with the monetary values of another year?

ANSWER:

Money Measurement Concept states that only those events that can be expressed in monetary terms are recorded in the books of accounts. For example, 12 television sets of Rs10,000 each are purchased and this event is recorded in the books with a total amount of Rs 1,20,000. Money acts a common denomination for all the transactions and helps in expressing different measurement units into a common unit, for example rupees. Thus, money measurement concept enables consistency in maintaining accounting records. But on the other hand, the adherence to the money measurement concept makes it difficult to compare the monetary values of one period with that of another. It is because of the fact that the money measurement concept ignores the changes in the purchasing power of the money, i.e. only the nominal value of money is concerned with and not the real value. What Rs 1 could buy 10 years back cannot buy today; hence, the nominal value of money makes comparison difficult. In fact, the real value of money would be a more appropriate measure as it considers the price level (inflation), which depicts the changes in profits, expenses, incomes, assets and liabilities of the business.

Question 5 : When should revenue be recognised? Are there exceptions to the general rule?

Answer

Revenue is recognised only when it is realised i.e., when a legal right to receive it arises. Thus credit sales are treated as revenue on the day sales are made and not when cash is received from the buyers. Similarly, rent for the month of March even if received in April month will be treated as revenue of the financial year ending 31st March.
There are two exceptions to this rule:
→ In case of sales on installment basis, only the amount collected in installments is treated as revenue.
→ In case of long-term construction contracts, proportionate amount of revenue, based on part of the contracted completed by the end of the financial year is treated as realised.

Question 6 : ‘Only financial transactions are recorded in accounting’. Explain the statement.

Answer :

According to this principle, only those transactions and events are recorded in accounting which are capable of being expressed in terms of money are recorded in the books of accounts, such as the sale of goods or payment of expenses or receipt of income, etc.
An event may be important for the business (such as dispute among the owners or managers, the appointment of a manager, etc.), but it will not be recorded in the books of accounts simply because it can not be converted or recorded in terms of money. For instance, strike by workers may adversely affect the business but it cannot be recorded in the books of accounts unless its effect can be measured in terms of money with a fair degree of accuracy.
Another aspect of this principle is that the transactions that can be expressed in terms of money have to be converted in terms of money before being recorded.It should be remembered that money is the only measurement which enables various things of diverse nature to be added up together and dealt with. The money measurement assumption is not free from limitations. Due to the changes in price, the value of money does not remain the same over a period of time. The value of rupee today on account of rising in price is much less than what it was, say ten years back. As the change in the value of money is not reflected in the book of accounts, the accounting data does not reflect the true and fair view of the affairs of an enterprise. As, such, to make accounting records relevant, simple, understandable and homogeneous, they are expressed in a common unit of measurement,i.e., money.

Question 7 : What are the advantages of Book‐Keeping ?

Answer :

1.  To the Management of a Business 
(a) In evaluating various alternative proposals so as to take maximum benefit from the best alternative.

(b) In deciding matters such as elimination of an unprofitable activity, department or product, replacement of fixed assets, expansion of business etc.

(c) Planning the various activities and planning of revenues and expenses and arranging for finance in case of need.

(d) Comparing various year’s account to know the progress or deterioration of the business and take actions to improve the business.

(e) Accounting information helps in providing evidence in a court of law in case of legal action taken by others.

(f) Accounting information helps in assessing the income tax, sales tax and property tax of the business.

(g) Accounting information constitutes one of the basis for borrowing loans from external source.

(h) It helps to detect errors and frauds that have taken place in the business.

2.  To the Investors:
(a) Types of property owned by the business.

(b) Sources and amount of earnings made or losses incurred by the business.

(c) Particulars such as stock position, debts owed, debts due etc.

(d) Whether rate of earnings is high or low.

3.  To the Employees:
It provides information to employees so as to claim fair wages, bonus, and other welfare facilities.

4.  To the Government:
(a) Accounting information helps Government to extend subsidies and incentives and other exemptions to certain types of business.

(b) The industrial progress can be known by the Government of the country. It can formulate industrial policies for further growth and development of industries.

(c) It enables the Government to assess the income from the industrial sector.

(d) It helps in amending various laws or enacting laws governing the functioning of business enterprises.

(e) It helps the Government in deciding price control, wage fixation, excise duties, sales tax etc.

5.  To the Consumers: 
Customers are not overcharged as selling price is fixed on the total expenses incurred by adding a reasonable rate of profit.

6. To the Prospective Investors: 
It helps the prospective investors in choosing the right type of investment depending upon the profit earning capacity of the business enterprises and the profit earned during past few years.

7.  To the Creditors and Suppliers: 
Creditors can decide the solvency position of the business through the accounting information. Similarly, suppliers can also decide whether goods can be sold in future on credit basis.

Question 8 : Discuss the concept-based on the premise ‘do not anticipate profits but provide for all losses’.

Answer :

According to the Conservatism Principle, profits should not be anticipated; however, all losses should be accounted (irrespective whether they occurred or not). It states that profits should not be recorded until they get recognised; however, all possible losses even though they may happen rarely, should be provided. For example, stock is valued at cost or market price, whichever is lower. If the market price is lower than the cost price, loss should be accounted; whereas, if the former is more than the latter, then this profit should not be recorded until unless the stock is sold. There are numerous provisions that are maintained based on the conservatism principle like, provision for discount to debtors, provision for doubtful bad debts, etc. This principle is based on the common sense and depicts pessimism. This also helps the business to deal uncertainty and unforeseen conditions.

Question 9 : Why is it important to adopt a consistent basis for the preparation of financial statements? Explain.

Answer :

It is important to adopt a consistent basis for the preparation of financial statements because it helps in comparability of financial statements. For Example: if a firm choose straight line method for showing depreciation but in the next accounting period switched over to written down method then the results of this year cannot be compared to that of the previous years. However, it does not mean that firm cannot changes its accounting policies. A better method, if available which will lead to better presentation and better understanding of the financial results, the firm may adopt but it must be stated clearly by way of footnotes to enable the users of the financial statements to be aware of the changes.

Question 10 : What is Book-Keeping?

Answer :

Book‐Keeping is a systematic manner of recording transactions related to business in the books of accounts. In Book‐Keeping, transactions are recorded in the order of the dates. An Accountant is a person who records the transactions in the books of the business and is expected to show the financial results of a business for every financial year. A financial year in India is followed from 1st  April to 31st  March.

According to J. R. Batliboi :

“Book‐Keeping is an art of recording business dealings in a set of books.” 

According to R.N  Carter:

“Book‐Keeping  is  an  art  of  recording  in  the  books  of  accounts,  all  those  business  transactions  that  result in transfer of money’s worth” 

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NCERT | CLASS 11 ACCOUNTANCY | IMPORTANT QUESTIONS

Question 1: Distinguish between debtors and creditors; Profit and Gain.

ANSWER: The difference between Debtors and Creditors is given below.

Basis of differenceDebtorsCreditors
MeaningPersons or organizations that are liable to pay money to a firm are called debtors.Persons or organizations to whom the firm is liable to pay money are called creditors.
NatureThey have a debit balance to the firm.They have a credit balance to the firm.
PaymentPayments are received from them.Payments are made to them.
ShownThey are shown as assets in the Balance sheet under Current Assets.They are shown as liabilities in the Balance Sheet under Current Liabilities.

The difference between Profit and Gain is given below.

  • Gain− Gain is incidental to the business. They arise from irregular activities or non-recurring transactions; for example, profit on sale of fixed assets, appreciation in value of asset, profit on sale of investment, etc.
  • Profit− This refers to the excess of revenue over the expense. It is normally categorised into gross profit or net profit. Net profit is added to the capital of the owner, which increases the owner’s capital. For example, goods sold above its cost

Question 2: What is accounting? Define its objectives.

ANSWER:

Accounting is a process of identifying the events of financial nature, recording them in the journal, classifying in their respective accounts and summarising them in profit and loss account and balance sheet and communicating results to users of such information, viz. owner, government, creditor, investors, etc.

According to the American Institute of Certified Accountants, 1941, “Accounting is the art of recording, classifying and summarizing in a significant manner and in terms of money, transactions, and events that are, in part at least, of financial character and interpreting the results thereof.”

In 1970, the American Institute of Certified Public Accountants changed the definition and stated, “The function of accounting is to provide quantitative information, primarily financial in nature, about economic entities, that is intended to be useful in making economic decisions.”

Objectives of Accounting:

  1. Recording business transactions systematically− It is necessary to maintain systematic records of every business transaction, as it is beyond human capacities to remember such large number of transactions. Skipping the record of any one of the transactions may lead to erroneous and faulty results.
  2. Determining profit earned or loss incurred− In order to determine the net result at the end of an accounting period, we need to calculate profit or loss. For this purpose trading and profit and loss account are prepared. It gives information regarding how much of goods have been purchased and sold, expenses incurred and amount earned during a year.
  3. Ascertaining financial position of the firm− Ascertaining profit earned or loss incurred is not enough; proprietor also interested in knowing the financial position of his/her firm, i.e. the value of the assets, amount of liabilities owed, net increase or decrease in his/her capital. This purpose is served by preparing the balance sheet that facilitates in ascertaining the true financial position of the business.
  4. Assisting management− Systematic accounting helps the management in effective decision making, efficient control on cash management policies, preparing budget and forecasting, etc.
  5. Assessing the progress of the business− Accounting helps in assessing the progress of business from year to year, as accounting facilitates the comparison both inter-firm as well as intra-firm.
  6. Detecting and preventing frauds and errors− It is necessary to detect and prevent fraud and errors, mismanagement and wastage of the finance. Systematic recording helps in the easy detection and rectification of frauds, errors and inefficiencies, if any.
  7. Communicating accounting information to various users− The important step in the accounting process is to communicate financial and accounting information to various users including both internal and external users like owners, management, government, labour, tax authorities, etc. This assists the users to understand and interpret the accounting data in a meaningful and appropriate manner without any ambiguity.

Question 3: What do you mean by an asset and what are different types of assets?

ANSWER:

Any valuable thing that has monetary value, which is owned by a business, is its asset. In other words, assets are the monetary values of the properties or the legal rights that are owned by the business organizations.

Fixed Assets− These are those assets that are held for the long term and increase the profit earning capacity and productive capacity of the business. These assets are not meant for sale, for example, land, building machinery, etc.

Current Assets− Assets that can be easily converted into cash or cash equivalents are termed as current assets. These are required to run day-to-day business activities; for example, cash, debtors, stock, etc.

Tangible Assets− Assets that have a physical existence, i.e., which can be seen and touched, are tangible assets; for example, car, furniture, building, etc.

Intangible Assets− Assets that cannot be seen or touched, i.e. those assets that do not have a physical existence, are intangible assets; for example, goodwill, patents, trademark, etc.

Liquid Assets− Assets that are kept either in cash or cash equivalents are regarded as liquid assets. These can be converted into cash in a very short period of time; for example, cash, bank, bills receivable, etc.

Fictitious Assets− These are the heavy revenue expenditures, the benefit of whose can be derived in more than one year. They represent loss or expense that is written off over a period of time, for example, if advertisement expenditure is Rs 1,00,000 for 5 years, then each year Rs 2,00,000 will be written off.

Question 4: Describe the role of accounting in the modern world.

Answer:

The role of accounting has been changing over the period of time. In the modern world, the role of accounting is not only limited to record financial transactions but also to provide a basic framework for various decision making, providing relevant information to various users, and assists in both short-run and long-run planning. The role of accounting in the modern world are given below.

→ Assisting management- Management uses accounting information for short-term and long-term planning of business activities, to predict the future conditions, prepare budgets, and various control measures.

→ Comparative study- In the modern world, accounting information helps us to know the performance of the business by comparing the current year’s profit with that of the previous years and also with other firms in the same industry.

→ Substitute of memory- In the modern world, every business incurs a large number of transactions and it is beyond human capability to memorize each and every transaction. Hence, it is very necessary to record transactions in the books of accounts.

→ Information to end-user- Accounting plays an important role in recording, summarising, and providing relevant and reliable information to its users, in form of financial data that helps in decision making.

Question 5: Explain the qualitative characteristics of accounting information.

Answer:

The qualitative characteristics of accounting information are:

→ Reliability: Accounting information must be reliable so that business owners can be reasonably assured that accounting information presents an accurate picture of the company. All accounting information is verifiable and can be verified from the source document (voucher), via cash memos, bills, etc. Hence, the available information should be free from any errors and unbiased.

→ Relevance: It means that essential and appropriate information should be easily and timely available and any irrelevant information should be avoided. The users of accounting information need relevant information for decision making, planning, and predicting future conditions.

→ Understandability: Accounting information should be presented in such a way that every user is able to interpret the information without any difficulty in a meaningful and appropriate manner.

→ Comparability: It allows business owners to compare accounting information of a current year with that of the previous years. Comparability enables intra-firm and inter-firm comparisons. This assists in assessing the outcomes of various policies and programs adopted in different time horizons by the same or different businesses. Further, it helps to ascertain the growth and progress of the business over time and in comparison to other businesses.

Question 6: Accounting information refers to financial statements. The information provided by these statements can be categorized into various types. Briefly describe them.

Answer:

  1. Types of Accounting Information Accounting information refers to the information provided in financial statements of the business, generated through the process of book keeping and summarising. By using the accounting information, the users are in a position to take the correct decision. The financial statements so generated are the income statement i.e., profit and loss account and the position statement i.e., balance sheet and a Cash Flow Statement. The information made available by these statements can be categorised into the following categories:
    1. Information Related to Profit or Loss during the year: Information about the profit earned or loss incurred by the business during an accounting period is made available through the income statement of the business  i.e., the profit and loss account. Trading account provides information about gross profit or gross loss whereas the profit and loss account provides information about the net profit or net loss during the year. It also gives details of all the expenses and incomes during the year.
    2. Information Related to Financial Position of the business : Information about the financial position of the enterprise is determined through its position statement i.e., the balance sheet.
      It provides information about the assets and liabilities of a business on a particular date. The difference between the two is represented by capital i.e., amount due to owners. In the case of not-for-profit organisation, difference between assets and liabilities is termed as general fund.
    3. Information about Cash Flow during the year : Cash flow statement is a statement that shows inflow and outflow of cash during a specific period. It helps in making various decisions such as payment of liabilities, payment of dividend and expansion of business, etc., as all these are based on availability of cash. It gives a clear picture of the liquidity of the business.

Question 7:

Giving examples, explain each of the following accounting terms:

  • Fixed assets
  • Revenue
  • Expenses
  • Short-term liability
  • Capital

ANSWER:

  • Fixed assets− These are held for long term and increase the profit earning capacity of the business, over various accounting periods. These assets are not meant for sale; for example, land, building, machinery, etc.
  • Revenue− It refers to the amount received from day to day activities of business, viz. amount received from sales of goods and services to customers; rent received, commission received, dividend, royalty, interest received, etc. are items of revenue that are added to the capital.
  • Capital− It refers to the amount invested by the owner of a firm. It may be in form of cash or asset. It is an obligation of the business towards the owner of the firm, since business is treated separate or distinct from the owner.

Capital = Assets − Liabilities.

  • Expenses− Expenses are those costs that are incurred to maintain the profitability of business, likerent, wages, depreciation, interest, salaries, etc. These help in the production, business operations and generating revenues.
  • Short term liabilities− Those liabilities that are incurred with an intention to be paid or are payable within a year; for example, bank overdraft creditors, bills payable, outstanding wages, short-term loans, etc.

Question 8: Describe the informational needs of external users.

Answer:

The various external users and their needs are:

• Investors and potential investors: information on the risks and return on investment;

• Unions and employee groups: information on the stability, profitability, and distribution of wealth within the business;

• Lenders and financial institutions: information on the creditworthiness of the company and its ability to repay loans and pay interest;

• Suppliers and creditors-information on whether amounts owed will be repaid when due, and on the continued existence of the business;

• Customers-information on the continued existence of the business and thus the probability of a continued supply of products, parts, and after-sales service;

• Government and other regulators- information on the allocation of resources and the compliance to regulations;

• Social responsibility groups, such as environmental groups-information on the impact on the environment and its protection;

• Competitors: information on the relative strengths and weaknesses of their competition and for comparative and benchmarking purposes.

Question 9: Distinguish between financial accounting, cost accounting, and management accounting.

Answer:

BasisFinancial AccountingCost AccountingManagement Accounting
MeaningFinancial accounting is a specialized branch of accounting that keeps track of a company’s financial transactions. Using standardized guidelines, the transactions are recorded, summarized, and presented in a financial report or financial statements such as an income statement or a balance sheet.Cost accounting is an accounting method that aims to capture a company’s costs of production by assessing the input costs of each step of production as well as fixed costs, such as the depreciation of capital equipment. Cost accounting will first measure and record these costs individually, then compare input results to output or actual results to aid company management in measuring financial performance.Management accounting also called managerial accounting or cost accounting is the process of analyzing business costs and operations to prepare an internal financial report, records, and account to aid managers’ decision-making process in achieving business goals. In other words, it is the act of making sense of financial and costing data and translating that data into useful information for management and officers within an organization.
ObjectsRecord transaction and determine financial position & profit or lossAscertainment, allocation, accumulation, and accounting for the costTo assist the management in decision making & policy formulation
NatureConcerned with historical dataconcerned with both past and present recorded( historical in nature)Deals with a projection of data for the future( futuristic in nature)
Principle followedGoverned by GAAPcertain principles followed for recording costNo set principles are followed in it
Data UsedQualitative aspects are not recordedOnly quantitative aspects are recordedUses both qualitative and quantitative concepts

Question 10: What are the functions or steps of the accounting process? 

Answer:

 Following attributes or major steps that can be drawn from the definition of Accounting:

① Identifying and Measurement
② Recording
③ Classifying
④ Summarizing
⑤ Analysis, Interpretation, and Communication

(1) Identifying financial transactions and events

Accounting records only those transactions and events which are of financial nature. So, first of all, such transactions and events are identified.

The first step in accounting is to determine what to record, i.e., to identify the financial events which are to be recorded in the books of accounts. It involves observing all business activities and selecting those events or transactions which can be considered as financial transactions.

(2) Measuring the transactions

Accounting measures the transactions and events in terms of money which are considered as a common unit.

In Accounting, we record only those transactions which can be measured in terms of money or which are of financial nature. If a transaction or event cannot be measured in monetary terms, it is not considered for recording in financial accounts.

There are few events directly or indirectly make an effect on the working of a business firm but cannot be recorded in the books of accounts because they cannot be measured in terms of money.
For example, the appointment of a new managing director, signing of contracts, strikes, death of an employee etc is not shown in the books of accounts.

(3) Recording of transactions

Accounting involves recording the financial transactions of inappropriate books of accounts such as journals or Subsidiary Books.

A transaction will be recorded in the books of accounts only if it is considered an economic event and can be measured in terms of money. Once the economic events are identified and measured in financial terms, these are recorded in books of account in monetary terms and in chronological order. The recording should be done in a systematic manner so that the information can be made available when required.

(4) Classifying the transactions

Transactions recorded in the books of original entry – Journal or Subsidiary books are classified and grouped according to nature and posted in separate accounts known as ‘Ledger Accounts’.

Once the financial transactions are recorded in journal or subsidiary books, all the financial transactions are classified by grouping the transactions of one nature at one place in a separate account. This is known as the preparation of Ledger.

(5) Summarising the transactions

It involves presenting the classified data in a manner and in the form of statements, which are understandable by the users.

It includes Trial balance, Trading Account, Profit and Loss Account, and Balance Sheet.

It is concerned with the presentation of data and it begins with a balance of ledger accounts and the preparation of trial balance with the help of such balances. A trial balance is required to prepare the financial statements i.e. Trading Account, Profit & Loss Account, and Balance Sheet.

(6) Analysing and interpreting financial data

Results of the business are analyzed and interpreted so that users of financial statements can make a meaningful and sound judgment.

The main purpose of accounting is to communicate the financial information to the users who analyze them as per their individual requirements.

(7) Communicating the financial data or reports to the users

Communicating the financial data to the users on time is the final step of Accounting so that they can make appropriate decisions. Providing financial information to its users is a regular process.

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