Chapter 8 Comparing Quantities mcqs & important questions | class 8th

MCQ Questions for Class 8 Maths: Ch 8 Comparing Quantities

1. Find the ratio of speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.

(a) It is 1:2

(b) It is 1:3

(c) It is 2:1

(d) It is 3:1

► (a) It is 1:2

2. The ratio of 10m to 10 km is:

(a) 1/10

(b) 1/100

(c) 1/1000

(d) 1000

► (c) 1/1000

3. The price of a house was Rs 34,00,000 last year. It has increased by 20% this year. What is the price now?

(a) Rs 40,40,000

(b) Rs 40,80,000

(c) Rs 30,40,000

(d) Rs 30,80,000

► (b) Rs 40,80,000

4. Calculate compound interest on Rs 10,800 for 3 years at 12.5% per annum compounded annually.

(a) 13,377.34

(b) 4577.34

(c) 14,377.34

(d) None of these

► (b) 4577.34

5. An item marked at Rs 840 is sold for Rs 714. What is the discount %?

(a) 20%

(b) 10%

(c) 15%

(d) none of these

► (c) 15%

6. A sum of money, at compound interest, yields Rs. 200 and Rs. 220 at the end of first and second years respectively. What is the rate percent?

(a) 20%

(b) 15%

(c) 10%

(d) 5%

► (c) 10%

7. A picnic is being planned in a school. Girls are 60% of the total number of students and are 300 in number. Find the ratio of the number of girls to the number of boys in the class.

(a) It is 3:2

(b) It is 3:1

(c) It is 2:3

(d) It is 2:1

► (a) It is 3:2

8. The price of a scooter was Rs 34,000 last year. It has increased by 20% this year. What is the price now?

(a) Rs 30,800

(b) Rs 30,400

(c) Rs 40,800

(d) Rs 40,400

► (c) Rs 40,800

9. A shopkeeper purchased 500 pieces for Rs 20 each. However 50 pieces were spoiled in the way and had to be thrown away. The remaining were sold at Rs 25 each. Find the gain or loss %.

(a) 18%

(b) 15%

(c) 12.5%

(d) none of these

► (c) 12.5%

10. The present population of a town is 25000. It grows at 4%, 5% and 8% during first year, second year and third year respectively. Find the population after 3 years.

(a) 29484

(b) 28696

(c) 24576

(d) 30184

► (a) 29484

11. Find the ratio of speed of a cycle 20 km per hour to the speed of scooter 30 km per hour.

(a) It is 3:1

(b) It is 2:1

(c) It is 2:3

(d) It is 1:3

► (c) It is 2:3

12. The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.

(a) 25153

(b) 24153

(c) 23153

(d) None of these

► (c) 23153

13. Sohan bought a washing machine for Rs 40,000, then spent Rs 5,000 on its repairs and sold it for Rs 50,000. Find his loss or gain per cent.

(a) Loss 10%

(b) Loss 20%

(c) Profit 11%

(d) none of these

► (c) Profit 11%

14. ________ means comparing two quantities.

(a) Ratio

(b) Proportion

(c) Percent

(d) None of these

► (a) Ratio

15. Find selling price (SP) if a profit of 5% is made on a cycle of Rs 700 with Rs 50 as overhead charges.

(a) Rs 600

(b) Rs 787.50

(c) Rs 780

(d) None of these

► (b) Rs 787.50

16. Find the ratio of speed of a car 50 km per hour to the speed of scooter 40 km per hour.

(a) It is 4:5

(b) It is 4:1

(c) It is 5:4

(d) It is 1:5

► (c) It is 5:4

17. The sale price of a shirt is Rs.176. If a discount of 20% is allowed on its marked price, what is the marked price of the shirt?

(a) Rs.160

(b) Rs.180

(c) Rs. 200

(d) Rs. 220

► (d) Rs. 220

18. The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.

(a) Rs. 6000

(b) Rs. 6200

(c) Rs. 6300

(d) Rs. 6400

► (d) Rs. 6400

19. Rohan bought a second hand refrigerator for Rs 2,500, then spent Rs 500 on its repairs and sold it for Rs 3,300. Find his loss or gain per cent.

(a) Loss 15% 2a

(b) Loss 10%

(c) Profit 10%

(d) None of these

► (c) Profit 10%

20. The value of an article which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs.9680, what is the price at which it was purchased?

(a) Rs.10000

(b) Rs.12500

(c) Rs.14575

(d) Rs.16250

► (b) Rs.12500

21. Find the ratio of 5 m to 10 km.

(a) It is 1:3

(b) It is 3000:1

(c) It is 2000:1

(d) It is 1:2000

► (d) It is 1:2000

22. A sum of money, at compound interest, yields Rs. 200 and Rs. 220 at the end of first and second years respectively. What is the rate percent?

(a) 20%

(b) 15%

(c) 10%

(d) 5%

► (c) 10%

23. A shopkeeper purchased 300 bulbs for Rs 10 each. However 10 bulbs were fused and had to be thrown away. The remaining were sold at Rs 12 each. Find the gain or loss %.

(a) 15%

(b) 13%

(c) 16%

(d) none of these

► (c) 16%

24. In what time will Rs.1000 amount to Rs.1331 at 10% p.a. compounded annually?

(a) 4 years

(b) 3 years

(c) 2 years

(d) 1 year

► (b) 3 years

Comparing Quantities Class 8 Extra Questions Very Short Answer Type

Question 1.
Express the following in decimal form:
(a) 12%
(b) 25%
Solution:
(a) 12% = 12100 = 0.12
(b) 25% = 25100 = 0.25

Question 2.
Evaluate the following:
(a) 20% of 400
(b) 1212% of 625
Solution:

Question 3.
If 20% of x is 25, then find x.
Solution:
20% of x = 25

Hence x = 125

Question 4.
Express the following as a fraction
(a) 35%
(b) 64%
Solution:

Question 5.
Express the following into per cent
(а) 135
(b) 2 : 5
Solution:

Question 6.
There are 24% of boys in a school. If the number of girls is 456, find the total number of students in the school.
Solution:
Let the total number of students be 100.
Number of boys = 24% of 100 = 24100 × 100 = 24
Number of girls = 100 – 24 = 76
⇒ If number of girls is 76, then total number of students = 100
⇒ If Number of girls is 1, then total number of students = 10076
If Number of girls is 456, then total number of students = 100×45676 = 600
Hence, the total number of students in the school = 600

Question 7.
The cost of 15 articles is equal to the selling price of 12 articles. Find the profit per cent.
Solution:
Let CP of 15 articles be ₹ 100
CP of 1 article = ₹ 10015
SP of 12 articles = ₹ 100
SP fo 1 article = ₹ 10012
SP > CP


Hence, profit = 25%

Question 8.
An article is marked at ₹ 940. If it is sold for ₹ 799, then find the discount per cent.
Solution:
MP = ₹ 940
SP = ₹ 799
Discount = MP – SP = 940 – 799 = ₹ 141

Hence, discount = 15%

Question 9.
A watch was bought for ₹ 2,700 including 8% VAT. Find its price before the VAT was added.
Solution:
Cost of watch including VAT = ₹ 2,700
Let the initial cost of the watch be ₹ 100
VAT = 8% of ₹ 100 = ₹ 8
Cost of watch including VAT = ₹ 100 + ₹ 8 = ₹ 108
If cost including VAT is ₹ 108, then its initial cost = ₹ 100
If cost including VAT is ₹ 1, then its initial cost = ₹ 100108
If cost including VAT is ₹ 2,700, then its initial cost = ₹ 100108 × 2700 = ₹ 2500
Hence, the required cost = ₹ 2,500

Question 10.
Find the amount if ₹ 2,000 is invested for 2 years at 4% p.a. compounded annually.
Solution:

Comparing Quantities Class 8 Extra Questions Short Answer Tpye

Question 11.
A number is increased by 20% and then it is decreased by 20%. Find the net increase or decrease per cent. (NCERT Exemplar)
Solution:
Let the number be 100
20% increase = 20100 × 100 = 20
Increased value = 100 + 20 = 120
Now it is decreased by 20%
Decreased value = 120 – 120100 × 20 = 120 – 24 = 96
Net decrease = 100 – 96 = 4
Decrease per cent = 4100 × 100 = 4%
Hence, the net decrease per cent = 4%

Question 12.
Two candidates Raman and Rajan contested an election. Raman gets 46% of the valid votes and is#defeated by 1600 votes. Find the total number of valid votes cast in the election.
Solution:
Let the total number of valid votes be 100
Number of votes got by Raman = 46% of 100 = 46100 × 100 = 46
Number of votes got by Rajan = 100 – 46 = 54
Difference between the votes = 54 – 46 = 8
8% of Valid votes = 1,600
⇒ 8100 × Valid votes = 1,600
⇒ Valid votes = 1600×1008 = 20,000
Hence, the total number of valid votes = 20,000

Question 13.
A man whose income is ₹ 57,600 a year spends ₹ 43,200 a year. What percentage of his income does he save?
Solution:
Annual income of a man = ₹ 57,600
Amount spent by him in the year = ₹ 43,200
Net amount saved by him = ₹ 57,600 – ₹ 43,200 = ₹ 14,400
Percentage of his annual saving Saving = SavingIncome × 100
= 1440057600 × 100
= 25%
Hence, the saving percentage = 25%

Question 14.
A CD player was purchased for ₹ 3,200 and ₹ 560 were spent on its repairs. It was then sold at a gain of 1212 %. How much did the seller receive?
Solution:
Cost price of the CD player = ₹ 3,200
Amount spent on its repairing = ₹ 560
Net cost price = ₹ 3,200 + ₹ 560 = ₹ 3,760

Hence, the required amount = ₹ 4,230

Question 15.
A car is marked at ₹ 3,00,000. The dealer allows successive discounts of 6%, 4% and 212 % on it. What is the net selling price of it?
Solution:
Marked price of the car = ₹ 3,00,000
Net selling price after the successive discounts

Hence, the net selling price = ₹ 2,63,952

Question 16.
Ramesh bought a shirt for ₹ 336, including 12% ST and a tie for ₹ 110 including 10% ST. Find the list price (without sales tax) of the shirt and the tie together.
Solution:
List price of the shirt = 110112 × 336 = ₹ 300
List price of the tie = 100110 × 110 = ₹ 100
List price of both together = ₹ 300 + ₹ 100 = ₹ 400

Question 17.
Find the amount of ₹ 6,250 at 8% pa compounded annually for 2 years. Also, find the compound interest.
Solution:

Question 18.
Find the compound interest on ₹ 31,250 at 12% pa for 1212 years.
Solution:

Question 19.
Vishakha offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at ₹ 280? (NCERT Exemplar)
Solution:
Marked Price = ₹ 280
Discount = 20% of ₹ 280
= 12 × 280 = ₹ 56
So selling price = ₹ (280 – 56) = ₹ 224
Let the cost price be ₹ 100
Profit = 12% of ₹ 100 = ₹ 12
So selling price = ₹ (100 + 12) = ₹ 112
If the selling price is ₹ 112, cost price = ₹ 100
If the selling price is ₹ 224, cost price = ₹ (100112 × 224) = ₹ 200

Question 20.
Find the compound interest on ₹ 48,000 for one year at 8% per annum when compounded half yearly. (NCERT Exemplar)
Solution:
Principal (P) = ₹ 48,000
Rate (R) = 8% p.a.
Time (n) = 1 year
Interest is compounded half yearly

Therefore Compound Interest = A – P = ₹ (519,16.80 – 48,000) = ₹ 3,916.80.