Chapter 8 Comparing Quantities Quick Revision notes | class7th | Mathematics

The ratio is used to compare two quantities. These quantities must have the same units.

The ratio is represented by “:”, which is read as “to”. We can write it in the form of “fraction”.

Revision Notes on Comparing Quantities

Example

Write the ratio of the height of Sam to John, where Sam’s height is 175 cm and john’s height is 125 cm.

Solution

The ratio of Sam’s height to John’s height is 175: 125 = 7: 5.

We can write it in fraction as 7/5.

Equivalent Ratios

The equivalent ratio is like the equivalent fractions so to find the equivalent ratio we need to write it in the form of a fraction. To find the equivalent ratio we need to multiply or divide the numerator and denominator with the same number.

Example

Find the two equivalent ratios of 5: 20.

Solution

First multiply it by 2.

Revision Notes on Comparing Quantities

So the two equivalent ratios are 10:40 and 1: 4.

To compare that the two ratios are equivalent or not we need to convert them in the form of like a fraction. Like fractions are the fractions with the same denominator.

Example

Check whether the ratios 2: 3 and 3: 4 are equivalent are not?

Solution

To check, first, we need to make their denominator same.

Revision Notes on Comparing Quantities

Hence the ratio 2:3 is not equivalent to 3:4.

Proportion

Proportion shows the equality between two ratios. If two ratios are in proportion then these must be equal.

Revision Notes on Comparing Quantities

How to solve proportion problems?

Example

If the cost of 8 strawberries is Rs. 64 then what will be the cost of 25 strawberries.

Revision Notes on Comparing Quantities

Solution

Using Unitary Method

Revision Notes on Comparing Quantities

Solution using proportion

Let the cost of 25 strawberries = Rs. x

Revision Notes on Comparing Quantities

Hence the cost of 25 strawberries is Rs. 200

Percentage

The percentage is another way of comparisons. In ratios we have to make the denominator same then only we can compare them but in percentage, we can compare by calculating the percentage of the given quantity.

The percentage is the numerator of the fraction with the 100 denominators.

Symbol of Percentage

Revision Notes on Comparing Quantities
Revision Notes on Comparing Quantities

Example

What is the percentage of boys and girls in the class of 100 students if the number of boys is 55 and the number of girls is 45?

Solution

Revision Notes on Comparing Quantities

Percentage if the total is not a hundred

If the total number of quantity is not hundred i.e. the denominator is not hundred then to find the percentage we need to make the denominator 100.

Example

Out of 4 bees, 2 are going right and 2 are going left. So what percentage of bees is going right?

Revision Notes on Comparing Quantities

Solution

Unitary Method

Out of 4 bees, the number of bees going right are 2. Hence, out of 100, the number of bees going right is

Revision Notes on Comparing Quantities

By making denominator 100

Out of 4 bees, the number of bees going right is 2.

Revision Notes on Comparing Quantities

Converting fractional numbers to percentage

Fractional numbers have different denominator and to convert them into percentage we have to multiply the fraction with the 100%.

Example

Out of 15 fishes, 5 are red. What is the percentage of the red fishes?

Revision Notes on Comparing Quantities

Solution

Revision Notes on Comparing Quantities

Converting decimals to percentage

To convert the decimal into a percentage, first, we need to convert the decimal into fraction then multiply it by 100%.

Example

Convert 0.65 into a percentage.

Solution

Multiply the decimal with the 100%.

Revision Notes on Comparing Quantities

Converting Percentage to fractions or Decimals

We can reverse the above process to convert the percentage into fraction or decimal.

Revision Notes on Comparing Quantities

Parts always add to give a whole

If we know the one part of a whole then we can find the other part because all the parts together form a whole or 100%.

Example

If there are 25 men in the office of 100 employees then the remaining 75 would be women.

This means that if 25% are men the (100% – 25%) = 75% are women.

Fun with estimation

With the help of percentage, we can estimate the parts of an area.

Example

What percent of the given figure is shaded?

Revision Notes on Comparing Quantities

Solution

First, we have to find the fraction of the shaded portion.

Revision Notes on Comparing Quantities

Use of Percentages

  • Interpreting percentages

To use the percentages in real life we must be able to interpret the percentage.

Example

 If we say that Seema is spending 20% of her income then it means that Seema is spending Rs. 25 out of every Rs. 100 she earns.

  • Converting percentages to “How many”.

Example

If 20% of students get a distinction out of 45 students in a class, then how many students got the distinction?

Solution

The number of students got distinction = [20/100] × 45 = 9.

Hence, 9 students out of 45 got the distinction.

  • Ratios to percent

Example

If the profit of Rs. 2500 is divided among three partners in such a way that A, B and C got the two parts, three parts and five parts of profit respectively. How much money will each get? What percent of the profit do they get?

Solution

The three partners are getting profit in the ratio of 2: 3: 5, so the total of the parts is

2 + 3 + 5 = 10

Revision Notes on Comparing Quantities
  • Increase or decrease as Percent
    • Sometimes we have to find the increase or decrease in certain quantities as a percentage. Like the increase in population, decrease in sale etc.
Revision Notes on Comparing Quantities

Example

The total marks of Charlie increased from 365 to 380 from last year’s result. Find the increase in percentage.

Solution

Original amount = Marks of Charlie last year = 365

Amount of change = increase in the number of marks = 380 – 365 = 15.

Therefore,

Revision Notes on Comparing Quantities

Buying and Selling

Cost Price

Cost price is the price at which you buy some product. It is written as CP.

Selling Price

Selling price is the price at which you sell something. It is written as SP.

These are the factors which tell us that the sale of some product is profitable or not.

CP < SPProfitProfit = SP – CP
CP = SPNo profit no loss
CP > SPLossLoss = CP – SP

Example

If the buying price (or CP) of a table is Rs 700 and the selling price (or SP) is Rs 820, then find the profit or loss.

Solution

As the SP is more than CP, so the seller earns the profit in the table.

 Profit made = SP – CP 

= Rs 820 – Rs 700

= Rs 80

Profit or loss percentage

The profit and loss can be converted into a percentage. It is always calculated on the cost price.

Revision Notes on Comparing Quantities

Example

If the cost price of a laptop is Rs.45000 and the selling price is Rs. 50000, then what is the profit or loss percentage?

Solution

Revision Notes on Comparing Quantities

How to find SP if CP and profit or loss % is given?

Revision Notes on Comparing Quantities

Example

If the cost of a TV is Rs.25000 and shopkeeper sells it at a loss % of 5% then what is the selling price of the TV?

Solution

Revision Notes on Comparing Quantities

Hence, the shopkeeper sells it at the price of Rs. 23750

How to find CP if SP and profit or loss % is given?

Revision Notes on Comparing Quantities

Example

If the Selling price of a bookshelf is Rs 750 and the profit made by the seller is 10% then what is the cost price of the bookshelf?

Solution

Revision Notes on Comparing Quantities

Hence the seller bought the bookshelf at the cost of Rs. 682.

Simple Interest

When we borrow some money from the bank then we have to pay some interest to the bank.

The money which we borrow is called the Principal.

The amount which we have to pay to the bank to use that money is called interest.

At the end of the year we return the money to the bank with interest, that money is called Amount.

Amount = Principal + interest

Revision Notes on Comparing Quantities

Where,

SI = Simple interest

P = Principal

R = Rate of Interest

T = time period

Example

Sunita borrows a loan of Rs 5,0000 at 15% per year as the rate of interest. Find the interest she has to pay at end of one year.

Solution

Revision Notes on Comparing Quantities

Total amount to be paid by Sunita at the end of one year = Rs.50000 + Rs. 7500 = Rs.57500.

Interest for multiple years

If we have to calculate the interest for more than one year then we have to change the time period only.

Example

In the above example if Sunita takes the loan for 3 years then what will be the total amount after 3 years?

Solution

Revision Notes on Comparing Quantities

Total amount to be paid by Sunita at the end of 3 years = Rs.50000 + Rs. 22500 = Rs.72500.

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Chapter 12 India After Independence notes class 8th history

A New and Divided Nation

• Due to partition, 8 million refugees had come into India from what was now Pakistan.

• There was about 500 princely states each ruled by a maharaja or a nawab, each of whom had to be persuaded to join the new nation.

• There were divisions between high castes and low castes, between the majority Hindu community and Indians who practised other faiths.

A Constitution is Written

• Between December 1946 and November 1949, three hundred Indians had a series of meetings and decided on the formation of the Indian Constitution on 26 January, 1950.

• The features of Indian Constitution:
→ The adoption of universal adult franchise.
→ Guaranteed equality before the law to all citizens, regardless of their caste or religious affiliation.
→ Offered special constitutional rights to the poorest and the most disadvantaged Indian citizens along with the former Untouchables, the adivasis or Scheduled Tribes were also granted reservation in seats and jobs.

• The Constituent Assembly spent many days discussing the powers of the central government versus those of the state governments.


• The Constitution sought to balance claims by providing three lists of subjects: 
→ Union List (subjects such as taxes, defence and foreign affairs): Centre
→ State List (subjects such as education and health): States
→ Concurrent List (subjects such as forests and agriculture): The Centre and the states

• Another major debate in the Constituent Assembly concerned language which ended with Hindi would be the “official language” of India, English would be used in the courts, the services, and communications between one state and another.


• Dr. B.R. Ambedkar was the chairman of the Drafting Committee and under his guidance the document was finalised.

How were States to be Formed?

• A States Reorganisation Commission was set up, which submitted its report in 1956, recommending the redrawing of district and provincial boundaries to form compact provinces of Assamese, Bengali, Oriya, Tamil, Malayalam, Kannada and Telugu speakers respectively.

• The large Hindi-speaking region of north India were broken up into several states.

• In 1960, the bilingual state of Bombay was divided into separate states for the Marathi and Gujarati speakers.

• In 1966, the state of Punjab was divided into Punjab and Haryana, the former for the Punjabi speakers and the latter for the rest.

Planning for Development

• In 1950, the government set up a Planning Commission to help design and execute suitable policies for economic development.

• In 1956, the Second Five Year Plan was formulated which focused strongly on the development of heavy industries such as steel, and on the building of large dams.

The Nation, Sixty Years On

• On 15 August 2007, India celebrated sixty years of its existence as a free nation.

• That India is still united, and that it is still democratic.

• As many as thirteen general elections have been held since Independence, as well as hundreds of state and local elections. 

• There is a free press, as well as an independent judiciary.

• On the other hand, despite constitutional guarantees, the Untouchables or, as they are now referred to, the Dalits, face violence and discrimination.

• The Constitution recognises equality before the law, but in real life some Indians are more equal than others.

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UNIT 5 – GENERAL INSURANCE Notes & Video Lectures | Class 10th Banking & Insurance | edugrown

UNIT 5 – GENERAL INSURANCE……………………………………………………………………………. ……122
5.1. General Insurance – Meaning………………………………………………………………………………124
5.2. Importance of General Insurance ………………………………………………………………………..124
5.3. Types of General Insurance Policies ……………………………………………………………………..126
5.4. Fire Insurance…………………………………………………………………………………………………..129
5.5. Marine Insurance ……………………………………………………………………………………………..133
5.6. Motor Vehicle Insurance…………………………………………………………………………………….141
5.7. Health Insurance ………………………………………………………………………………………………144
5.8. Theft & Burglary Insurance …………………………………………………………………………………153
5.9. Procedure for taking Fire Insurance Policy …………………………………………………………….154
5.10. Procedure for taking Marine Insurance Policy…………………………………………………….156

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Video lecture UNIT 5 – GENERAL INSURANCE

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UNIT 4 – LIFE INSURANCE PRODUCT Notes & Video Lectures | Class 10th Banking & Insurance | EduGrown

UNIT 4 – LIFE INSURANCE PRODUCT……………………………………………………………………………103
4.1. Life Insurance – Meaning ……………………………………………………………………………………104
4.2. Features of Life Insurance…………………………………………………………………………………..104
1.3. Advantages of Life Insurance ………………………………………………………………………………105
4.4. Importance of Life Insurance Policies……………………………………………………………………107
4.5. Types of Life Insurance Policies……………………………………………………………………………107
4.6. Procedure of taking Life Insurance Policies ……………………………………………………………113
4.7. Nomination and Assignment of Life Insurance Policies…………………………………………….114

Life Insurance is a financial cover for a contingency or risk linked with human life such as
loss of life by death, disability, accident etc. The risk to human life is due to natural factors or
causes related to various types of accidents. When human life is lost or a person is disabled
permanently or temporarily there is a loss of income to the entire household.

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UNIT 3 – UTILITY SERVICES OF A BANK Notes & Video Lectures | Class 10th Banking & Insurance | edugrown

UNIT 3 – UTILITY SERVICES OF A BANK
3.1. Remittance through Bank Drafts
3.2. E Banking
3.3. Internet Banking
3.4. Safe Deposit Lockers

A Demand Draft is a cheque that contains an order of one branch of a bank (Drawer branch)
directing another branch of the same bank (Drawee branch) to pay on demand a certain sum
of money to a specified beneficiary (Payee). A Demand Draft may be crossed also with an
Account payee instrument, meaning thereby that its amount may be credited to the account of
the payee and it cannot be encashed over the counter by the payee.

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Video Lectures UNIT 3 – UTILITY SERVICES OF A BANK

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UNIT 2 – LENDING FUNCTIONS OF A BANK notes & video lecture | class 10th banking & insurance | edugrown

UNIT 2 – LENDING FUNCTIONS OF A BANK
2.1. Types of Advances- Secured & Unsecured
2.2. Loans: Short, Medium and Long Term
2.3. Methods of Granting Advances

A Bank is a financial institution / financial intermediary that accepts deposits and channels
those deposits into lending activities. It is done either directly by lending to the needy
borrowers or indirectly by investing is the capital markets instruments. Thus a bank
intermediates between customers who have surpluses of funds and customers who need funds.

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Unit-1 Laws related to negotiable Instrument Notes & Video Lecture | Class 10th Banking & Insurance | EduGrown

UNIT 1 – LAWS RELATING TO NEGOTIABLE INSTRUMENTS (NIS)
1.1. Introduction to Negotiable Instruments
1.2. Types of Negotiable Instruments
1.3. Parties to the bill of exchange
1.4. Crossing of Cheques

The word “Negotiable” means Transferable by Delivery” and “Instrument” means a written
document by which a ‘right’ is created by one person in favour of other person. Thus,
negotiable instrument means “a document transferable by delivery”.
The Negotiable Instruments Act has not defined the term negotiable instrument. It only
names three Negotiable Instruments in Sec. 13. These are:
 Cheques
 Promissory Notes (PN)
 Bills of Exchange (BE)

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Video lecture Unit-1 Laws related to negotiable Instrument

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Revision Notes for Class 6 Hindi vasant

Chapter 1 वह चिड़िया जो Class 6 Summary

Chapter 2 बचपन Class 6 Summary

Chapter 3 नादान दोस्त Class 6 Summary

Chapter 4 चाँद से थोड़ी सी गप्पें Class 6 Summary

Chapter 5 अक्षरों का महत्व Class 6 Summary

Chapter 6 पार नज़र के Class 6 Summary

Chapter 7 साथी हाथ बढ़ाना Class 6 Summary

Chapter 8 ऐसे ऐसे Class 6 Summary

Chapter 9 टिकट अलबम Class 6 Summary

Chapter 10 झाँसी की रानी Class 6 Summary

Chapter 11 जो देखकर भी नहीं देखते Class 6 Summary

Chapter 12 संसार पुस्तक है Class 6 Summary

Chapter 13 मैं सबसे छोटी होऊँ Class 6 Summary

Chapter 14 लोकगीत Class 6 Summary

Chapter 15 नौकर Class 6 Summary

Chapter 16 वन के मार्ग में Class 6 Summary

Chapter 17 साँस साँस में बांस Class 6 Summary

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The Banyan Tree

the banyan tree

A boy who came to live with his grandparents became the owner of a large old banyan tree that housed squirrels, snails and butterflies. A squirrel became his friend on the tree. They became so friendly that the squirrel started taking tit bits of food from his hand. In spring, the tree was the noisiest place in the garden with a variety of birds chirruping on it.  The boy made a rough platform on which he used to sit and read adventurous books during hot summers. From here, he also watched the world under the tree. One day he watched a fight between a mongoose and a cobra while sitting on the tree Because of the hot summer  everyone was indoors. The boy was thinking of going to the pond and have a swim with the buffaloes and Ramu. Suddenly,  a huge black cobra and a mongoose came out. The cobra was aware of the superb fighting skills of the mongoose. However, the cobra was no less. He was also fast and had sharp fangs of deadly poison. None of them knew that the boy was watching them. Other than the boy, two other spectators, a myna and a crow were also watching them from the clump of cactus. The mongoose opened the attack. The crow and the myna also joined them in the fight and attacked at each other in the air but returned safely to the cactus twice. The third time, the myna returned safely but the crow was hit  by the cobra. The injured crow fell on the ground. The fight between the mongoose and the snake was still continued. Finally,  the mongoose defeated the snake. The snake resigned and stopped struggling. The mongoose dragged and pushed it  inside the bushes. The myna was watching all this. It gave a congratulatory shrill and flew away.
 

Lesson Explanation of The Banyan Tree

The fight of the cobra and the mongoose is a classic drama often seen in India, and the outcome is largely the same. The mongoose is not immune to the venomous bite, but is faster and quicker in motion than the snake. The cobra assumes a posture of defence and attempts to reach the animal by a sweeping strike, but the quick-moving mongoose jumps out of reach and comes at the snake from another direction, before the snake can get into striking position again. This constant movement tires and discourages the snake, and the mongoose is finally able to leap in close and bury its teeth in the snake’s neck, usually severing the joints of its vertebrae.

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Desert Animals Summary

Desert Animals Summary will throw light on the life of desert animals. Moreover, it explains how they use different unique ways for adapting to the harsh atmosphere in the deserts. It begins by telling us how deserts are the driest places on earth. The animals living in deserts have to develop their capacity to adapt. For instance, gerbils spend the hottest part of the day in their underground burrows. Similarly, to get water in their mouth, the darkling beetles catch the drops of moisture on their lights and lift them into the air. Moreover, the Rocky deserts of America have ‘Rattle Snake’. Another animal living in the desert is a mongoose. Further, there are camels who have long shaggy coats for keeping warm in winter and shorter, tidier coats in the summer for keeping cool. Further, it explains their ability to survive for many days without food and water.

Desert Animals Summary in English 

The chapter begins by telling us how deserts are the driest places on earth. There are certain types of animals which survive in the desert. They make use of different places methods for coping up with the harsh climate of the desert.

Desert Animals summary begins by telling us about Gerbils. In order to survive the hottest part of the day, they stay in the underground burrows to cool down. Similarly, Darkling beetles catch drops of moisture on their legs.

They do this to lift the legs in the air till the drops of water start to trickle down into their mouths. On the other hand, Camels obtain water from desert plants. Further, it tells us about snakes which live in the desert.

The Rocky Deserts of America have frightening rattler. It can strike with a lightning speed. The snake can avoid people if it can but it coils when anyone threatens it in order to bite. These snakes feed on a variety of prey comprising of mice.

Further, it tells us how snakes do not eat more than once a week. However, some of them like pythons are able to survive for a year or more without eating anything. Furthermore, other animals present in the desert are mongooses.

They prefer hunting together. However, they have to be cautious of dangerous predators. The food they eat is beetles and other small creatures. In order to warn each other, they use a special alarm call if they look at something suspicious.

After that, you will learn how female mongooses have their kittens at around the same time. A whole group in a den raises them. Moreover, they are quite famous snake-killers. Because of their fast reactions, they are able to dodge each time a snake strikes.

As a result, the snake gets tired so the mongoose quickly dives in for a kill. Another animal which lives in the desert is the camel. The man was able to tame them a long time ago. Further, camel gets water from the desert plants.

They are able to survive without drinking water for up to ten months. Moreover, a thirsty camel is able to drink as much as thirty gallons of water within just ten minutes. There are two types of camels. They are dromedary and bacteria.

The former ones have one hump while the latter has two. Their humps are filled with fat which assists them in surviving for a lot of days without any food as well as water.

Conclusion of Desert Animals Summary

Desert Animals Summary explains to us the lifestyle of the animals living in the desert. Moreover, it enables us to understand how they are able to survive the harsh conditions in the desert. All in all, it teaches us how we must also learn how to adjust according to the situations in our life.

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