A man buys goods worth Rs. 6000. He sells one-third of them at a 10% profit. At what profit percentage must he sell the remaining goods to achieve an overall profit of 20%? MCQ with Answer and Explanation

A man buys goods worth Rs. 6000. He sells one-third of them at a 10% profit. At what profit percentage must he sell the remaining goods to achieve an overall profit of 20%?
A. 35%
B. 20%
C. 25%
D. 30%
Answer: Option C
Solution (By JKSSB Mock Tests)
Total Cost Price = 6000. Desired Selling Price for 20% profit = 6000 * 1.20 = 7200. Cost Price of one-third = 2000. Selling Price of this part = 2000 * 1.10 = 2200. Remaining Cost Price = 4000. Required Selling Price for remaining = 7200 - 2200 = 5000. Profit on remaining = 5000 - 4000 = 1000. Profit percentage = (1000 / 4000) * 100 = 25%.

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Practice More Profit And Loss Questions

Question #1
A merchant gives a discount of 10% on the marked price. If he sells for Rs. 900, he gains 12.5%. If he sells at the marked price, what is his profit percentage?
A. 22.5%
B. 20%
C. 25%
D. 30%

Correct Answer: Option C


Explanation:
Selling Price = 900. Gain = 12.5%. Cost Price = 900 / 1.125 = 800. Marked Price = 900 / 0.90 = 1000. If sold at 1000, Profit = 1000 - 800 = 200. Profit percentage = (200 / 800) * 100 = 25%.

This question belongs to: Maths Profit And Loss
Question #2
A person buys a pencil for Rs. 10 and sells it for Rs. 12. What is the gain percent?
A. 25%
B. 20%
C. 10%
D. 15%

Correct Answer: Option B


Explanation:
Gain = 2, gain% = 2/10*100 = 20%.

This question belongs to: Maths Profit And Loss
Question #3
If the selling price of an article is Rs. 468 and the profit is 30%, find the cost price.
A. Rs. 400
B. Rs. 340
C. Rs. 380
D. Rs. 360

Correct Answer: Option D


Explanation:
CP = 468 / 1.30 = 360.

This question belongs to: Maths Profit And Loss