Class 8 Maths MCQ – Comparing Quantities

1. Which term represents an increase in a value?

a) Discount
b) Loss
c) Markup
d) Depreciation

Answer:

c) Markup

Explanation:

Markup refers to the amount added to the cost price to determine the selling price.

2. If a shirt costs $120 after a 20% discount, what was its original price?

a) $140
b) $150
c) $100
d) $96

Answer:

b) $150

Explanation:

Let the original price be x. 80% of x = $120. So, x = $150.

3. If an item is sold for $80 at a loss of 20%, what was its cost price?

a) $96
b) $100
c) $60
d) $64

Answer:

b) $100

Explanation:

80% of the cost price is $80. So, the cost price is $100.

4. What is the equivalent fraction for 25%?

a) 1/2
b) 1/4
c) 1/3
d) 1/5

Answer:

b) 1/4

Explanation:

25% is 25/100, which simplifies to 1/4.

5. If the selling price is less than the cost price, there is a:

a) Profit
b) Loss
c) Discount
d) Markup

Answer:

b) Loss

Explanation:

If the selling price is less than the cost price, the seller incurs a loss.

6. A shop offers a discount of 10% on a toy. If the toy costs $45 after the discount, what was its marked price?

a) $48.5
b) $50
c) $49
d) $50.5

Answer:

b) $50

Explanation:

$45 is 90% of the marked price. Hence, the marked price is $50.

7. Compound interest is calculated on:

a) Principal only
b) Principal + Rate of Interest
c) Principal + Simple Interest
d) Principal + Previous Interest

Answer:

d) Principal + Previous Interest

Explanation:

Compound interest is calculated on the initial principal, which also includes accumulated interest from previous periods.

8. Which is the formula for calculating simple interest?

a) PNR/100
b) P + NR
c) PNR^2/100
d) NR/P

Answer:

a) PNR/100

Explanation:

Simple Interest = (Principal x Rate x Time)/100.

9. The ratio of two numbers is 3:4. If one of the numbers is 36, what is the other number?

a) 28
b) 48
c) 24
d) 42

Answer:

b) 48

Explanation:

Let the other number be x. The ratio is 36/x = 3/4. Solving, x = 48.

10. If the cost price of 10 pens is equal to the selling price of 8 pens, the gain percentage is:

a) 25%
b) 20%
c) 15%
d) 10%

Answer:

a) 25%

Explanation:

For every 8 pens sold, 2 pens are pure profit. So, the profit is (2/8)*100% = 25%.

11. What is the price after a 20% increase followed by a 10% decrease?

a) Decreases by 2%
b) Increases by 2%
c) Remains the same
d) Increases by 10%

Answer:

b) Increases by 2%

Explanation:

Multiplier for 20% increase is 1.20 and for 10% decrease is 0.90. Combined multiplier = 1.20 x 0.90 = 1.08, which is an 8% increase.

12. If 15% is equivalent to $75, what is 100% equivalent to?

a) $400
b) $500
c) $450
d) $600

Answer:

b) $500

Explanation:

(100/15) x 75 = $500.

13. If an article is sold at a loss of 5%, then the ratio of cost price to selling price is:

a) 21:20
b) 20:21
c) 19:20
d) 20:19

Answer:

b) 20:21

Explanation:

If loss is 5%, then SP = 95% of CP = 95/100 of CP. The ratio becomes 100:95 or 20:19.

14. Which of the following can never be the probability of an event?

a) 0.5
b) 1
c) -0.5
d) 0

Answer:

c) -0.5

Explanation:

Probability of an event always lies between 0 and 1, inclusive.

15. The rate of sales tax is usually a:

a) Percentage of selling price
b) Fixed amount
c) Percentage of profit
d) Percentage of loss

Answer:

a) Percentage of selling price

Explanation:

Sales tax is calculated as a percentage of the selling price.

16. An item is marked at $120 and sold at $108. What is the discount percentage?

a) 12%
b) 10%
c) 15%
d) 8%

Answer:

b) 10%

Explanation:

Discount = 120 – 108 = $12. Discount percentage = (12/120) x 100% = 10%.

17. If the simple interest on a certain amount for 2 years is $40 and the compound interest is $41, what is the rate of interest?

a) 5%
b) 10%
c) 15%
d) 20%

Answer:

a) 5%

Explanation:

Difference in CI and SI for 2 years = $1. This difference is due to the interest on the first year's interest, i.e., $1 is 5% of $20.

18. A number increased by 20% becomes 60. The original number is:

a) 45
b) 48
c) 50
d) 52

Answer:

c) 50

Explanation:

Let the number be x. 1.20x = 60. Solving, x = 50.

19. A shopkeeper gives two successive discounts of 10% and 20%. If an item is marked at $100, what is the selling price?

a) $72
b) $78
c) $70
d) $80

Answer:

a) $72

Explanation:

After the first discount, price = 0.90 x $100 = $90. After the second discount, price = 0.80 x $90 = $72.

20. If the selling price of 5 items is the same as the cost price of 7 items, the loss percentage is:

a) 28.57%
b) 40%
c) 35%
d) 42.85%

Answer:

a) 28.57%

Explanation:

Loss = CP of 7 items – SP of 5 items = Cost of 2 items. Loss % = (2/7)*100% = 28.57%.

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