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. 20%
B. 30%
C. 25%
D. 35%
Answer: Option C
Solution (By JKExamLibrary)
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%.

This question belongs to: Maths Profit And Loss

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Practice More Profit And Loss Questions

Question #1 Report Error
If the cost price of 11 articles is equal to the selling price of 10 articles, find the gain percent.
A. 8%
B. 12%
C. 15%
D. 10%

Correct Answer: Option D


Explanation:
Let CP of 1 = 1, CP of 11 = 11, SP of 10 = 11 => SP of 1 = 11/10 = 1.1, gain = 10%.

This question belongs to: Maths Profit And Loss
Question #2 Report Error
By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percentage during the sale season is:
A. 8%
B. 7.5%
C. 7%
D. 9%

Correct Answer: Option A


Explanation:
Marked Price = 300. Original SP = 300. Profit = 20%, so CP = 300 / 1.2 = 250. Discount during sale = 10% on MP. New SP = 300 - 30 = 270. Profit = 270 - 250 = 20. Profit % = (20 / 250) * 100 = 8%.

This question belongs to: Maths Profit And Loss
Question #3 Report Error
A trader allows a discount of 20% on the marked price and still gains 25%. If the cost price is Rs. 800, find the marked price.
A. Rs. 1300
B. Rs. 1250
C. Rs. 1200
D. Rs. 1150

Correct Answer: Option B


Explanation:
SP = 800*1.25 = 1000. MP = 1000 / 0.8 = 1250.

This question belongs to: Maths Profit And Loss