A man sells one-third of his goods at a 15% profit, one-fourth at a 20% profit, and the rest at a 24% profit. What is his overall profit percentage? MCQ with Answer and Explanation

Question

A man sells one-third of his goods at a 15% profit, one-fourth at a 20% profit, and the rest at a 24% profit. What is his overall profit percentage?

A. 18%

B. 22%

C. 21%

D. 20%

Answer: Option D

Solution (By JKSSB Mock Tests)

Let total goods = 120. Cost Price = 120. Parts are 40, 30, and 50. Profit = (40 * 15%) + (30 * 20%) + (50 * 24%) = 6 + 6 + 12 = 24. Overall profit percentage = (24 / 120) * 100 = 20%.

This question belongs to: Maths Profit And Loss

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Question #1

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A person sells a book for Rs. 150, losing 25%. Find the cost price.

A. Rs. 210

B. Rs. 190

C. Rs. 180

D. Rs. 200

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Correct Answer: Option D

Explanation:
SP = 75% of CP => CP = 150 / 0.75 = 200.

This question belongs to: Maths Profit And Loss

Question #2

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If the cost price of an article is Rs. 600 and the selling price is Rs. 540, what is the loss percentage?

A. 12%

B. 10%

C. 8%

D. 15%

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Correct Answer: Option B

Explanation:
Loss = 60, loss% = 60/600*100 = 10%.

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Question #3

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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. 20

D. 15

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Correct Answer: Option C

Explanation:
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.

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