A trader marks his goods such that after allowing a 16.66% discount, he earns a profit of 25%. What is the ratio of Cost Price to Marked Price? MCQ with Answer and Explanation

Question

A trader marks his goods such that after allowing a 16.66% discount, he earns a profit of 25%. What is the ratio of Cost Price to Marked Price?

A. 2:3

B. 5:6

C. 3:4

D. 4:5

Answer: Option A

Solution (By JKSSB Mock Tests)

Discount = 1/6 of MP. Selling Price = (5/6) * MP. Profit = 25% = 1/4 of CP. Selling Price = (5/4) * CP. (5/6) * MP = (5/4) * CP. CP / MP = (5/6) / (5/4) = 4/6 = 2/3.

This question belongs to: Maths Profit And Loss

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Question #1

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If the selling price of an article is Rs. 630 and the profit is 5%, find the cost price.

A. Rs. 600

B. Rs. 590

C. Rs. 620

D. Rs. 610

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Correct Answer: Option A

Explanation:
CP = 630 / 1.05 = 600.

This question belongs to: Maths Profit And Loss

Question #2

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If the selling price of an article is Rs. 540 and the loss is 10%, what is the cost price?

A. Rs. 500

B. Rs. 560

C. Rs. 600

D. Rs. 580

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Correct Answer: Option C

Explanation:
Let CP = x. Loss 10% => SP = 90% of x = 540 => x = 540/0.9 = 600.

This question belongs to: Maths Profit And Loss

Question #3

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A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by:

A. 65%

B. 40%

C. 60%

D. 50%

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Correct Answer: Option D

Explanation:
Let MP of 1 article = 100. Customer gets 16 articles but pays for 15. Total paid = 15 * 96 (4% discount) = 1440. Total CP of 16 articles = 16x. SP = 1440. Profit = 35%. 1.35 * 16x = 1440. 21.6x = 1440. x = 1440 / 21.6 = 66.66. MP is 100. Increase % = ((100 - 66.66) / 66.66) * 100 = 50%.

This question belongs to: Maths Profit And Loss

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