Successive discounts of x% and 15% are equivalent to a single discount of 32%. What is the value of x? MCQ with Answer and Explanation

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Successive discounts of x% and 15% are equivalent to a single discount of 32%. What is the value of x?

A. 18

B. 22

C. 15

D. 20

Answer: Option D

Solution (By JKSSB Mock Tests)

Equivalent multiplier = (1 - x/100) * 0.85. 1 - 0.32 = 0.68. (1 - x/100) * 0.85 = 0.68. 1 - x/100 = 0.68 / 0.85 = 0.80. x/100 = 0.20. x = 20.

This question belongs to: Maths Profit And Loss

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Question #1

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A person buys a T-shirt for Rs. 800 and sells it at a profit of 25%. What is the selling price?

A. Rs. 1050

B. Rs. 950

C. Rs. 1000

D. Rs. 900

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Correct Answer: Option C

Explanation:
SP = 800*1.25 = 1000.

This question belongs to: Maths Profit And Loss

Question #2

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A man sold a book at a 16% loss. Had he sold it for Rs. 42 more, he would have gained 12%. What is the cost price of the book?

A. Rs. 160

B. Rs. 140

C. Rs. 150

D. Rs. 120

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Correct Answer: Option C

Explanation:
Difference in percentage = 12% - (-16%) = 28%. 28% of Cost Price = 42. Cost Price = (42 / 28) * 100 = 150.

This question belongs to: Maths Profit And Loss

Question #3

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By selling 45 lemons for Rs. 40, a man loses 20%. How many should he sell for Rs. 24 to gain 20%?

A. 16

B. 20

C. 22

D. 18

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Correct Answer: Option D

Explanation:
Selling Price of 45 lemons = 40. Cost Price of 45 lemons = 40 / 0.80 = 50. Desired Selling Price for 45 lemons for 20% profit = 50 * 1.20 = 60. To get Rs. 60, he sells 45 lemons. To get Rs. 24, he must sell (45 / 60) * 24 = 18 lemons.

This question belongs to: Maths Profit And Loss

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