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. 21%

C. 20%

D. 22%

Answer: Option C

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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After allowing a discount of 16%, a shopkeeper still earns a profit of 5%. What is the marked price if the cost price is Rs. 400?

A. Rs. 550

B. Rs. 500

C. Rs. 450

D. Rs. 520

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Correct Answer: Option B

Explanation:
SP = 105% of 400 = 420. Marked Price (MP) - 16% of MP = SP. 0.84 * MP = 420. MP = 420 / 0.84 = Rs. 500.

This question belongs to: Maths Profit And Loss

Question #2

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If the selling price of an article is Rs. 390 and the profit is 30%, find the cost price.

A. Rs. 320

B. Rs. 300

C. Rs. 310

D. Rs. 290

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Correct Answer: Option B

Explanation:
CP = 390 / 1.30 = 300.

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Question #3

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If goods are purchased for Rs. 840 and one-fourth of them are sold at a loss of 20%, at what profit percentage should the remainder be sold to gain 20% on the whole transaction?

A. 35%

B. 30%

C. 33.33%

D. 28.33%

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Correct Answer: Option C

Explanation:
Total Cost Price = 840. Target Selling Price = 840 * 1.20 = 1008. Cost Price of one-fourth = 210. Selling Price of this part = 210 * 0.80 = 168. Remaining Selling Price needed = 1008 - 168 = 840. Cost Price of remainder = 630. Profit required on remainder = 840 - 630 = 210. Profit percentage = (210 / 630) * 100 = 33.33%.

This question belongs to: Maths Profit And Loss

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