Comparing Quantities

Q. A bicycle is sold for $180 after a 10% discount. What was the original price?

A. $200
B. $210
C. $220
D. $230

Solution

Let the original price be x. After a 10% discount, selling price = x - 0.1x = 0.9x. Given selling price = $180, so 0.9x = 180. Therefore, x = 180 / 0.9 = $200.

Correct Answer: A — $200

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Q. A car is bought for $20,000 and sold for $25,000. What is the percentage profit?

A. 20%
B. 25%
C. 30%
D. 35%

Solution

Profit = Selling Price - Cost Price = 25000 - 20000 = 5000. Percentage profit = (Profit / Cost Price) * 100 = (5000 / 20000) * 100 = 25%.

Correct Answer: B — 25%

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Q. A jacket is marked at $80 and sold for $64. What is the percentage discount given?

A. 15%
B. 20%
C. 25%
D. 30%

Solution

Discount = Marked Price - Selling Price = 80 - 64 = $16. Percentage discount = (Discount / Marked Price) * 100 = (16 / 80) * 100 = 20%.

Correct Answer: C — 25%

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Q. A product is marked at $200 and is sold at a 15% discount. What is the selling price?

A. $170
B. $175
C. $180
D. $185

Solution

Discount = 15% of 200 = 0.15 * 200 = $30. Selling price = Marked Price - Discount = 200 - 30 = $170.

Correct Answer: C — $180

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Q. A shopkeeper sells an article for $120 after allowing a discount of 20%. What was the marked price of the article?

A. $100
B. $120
C. $150
D. $160

Solution

Let the marked price be x. After a 20% discount, selling price = x - 0.2x = 0.8x. Given selling price = $120, so 0.8x = 120. Therefore, x = 120 / 0.8 = $150.

Correct Answer: D — $160

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Q. A store increases the price of a shirt by 25% and then offers a 20% discount on the new price. If the original price was $40, what is the final price after the discount?

A. $32
B. $30
C. $28
D. $25

Solution

New price after 25% increase = 40 + 0.25 * 40 = 40 + 10 = $50. Discount = 20% of 50 = 0.2 * 50 = $10. Final price = 50 - 10 = $40.

Correct Answer: B — $30

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Q. A student scored 75% in Mathematics and 85% in Science. If both subjects have equal weightage, what is the average percentage score?

A. 80%
B. 82%
C. 83%
D. 84%

Solution

Average percentage = (75% + 85%) / 2 = 160% / 2 = 80%.

Correct Answer: A — 80%

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Q. If a person earns $5000 and spends 60% of it, how much does he save?

A. $2000
B. $1800
C. $1500
D. $1200

Solution

Amount spent = 60% of 5000 = 0.6 * 5000 = $3000. Savings = Total Income - Amount Spent = 5000 - 3000 = $2000.

Correct Answer: B — $1800

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Q. If a person saves 25% of his income and spends the rest, what fraction of his income does he spend?

A. 1/4
B. 3/4
C. 1/3
D. 2/3

Solution

If he saves 25%, he spends 100% - 25% = 75%. Therefore, fraction spent = 75% = 3/4.

Correct Answer: B — 3/4

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Q. If a person spends 30% of his salary on rent and 20% on groceries, what percentage of his salary is left?

A. 50%
B. 40%
C. 30%
D. 20%

Solution

Total percentage spent = 30% + 20% = 50%. Therefore, percentage left = 100% - 50% = 50%.

Correct Answer: B — 40%

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Comparing Quantities

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