A shopkeeper bought 600 kg of rice. He sold a part of it at 15% profit and the remaining at 20% loss. If he incurred an overall loss of 6%, what quantity of rice was sold at 20% loss? MCQ with Answer and Explanation

A shopkeeper bought 600 kg of rice. He sold a part of it at 15% profit and the remaining at 20% loss. If he incurred an overall loss of 6%, what quantity of rice was sold at 20% loss?
A. 400 kg
B. 360 kg
C. 300 kg
D. 240 kg
Answer: Option B
Solution (By JKSSB Mock Tests)
Let the quantity sold at 15% profit be x kg. The quantity sold at 20% loss is (600 - x) kg. Overall loss is 6%. So, 15x - 20(600 - x) = -6 * 600. 15x - 12000 + 20x = -3600. 35x = 8400. x = 240. Quantity sold at 20% loss = 600 - 240 = 360 kg.

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Practice More Profit And Loss Questions

Question #1
If the cost price of 10 articles is equal to the selling price of 8 articles, find the gain percent.
A. 25%
B. 30%
C. 20%
D. 15%

Correct Answer: Option A


Explanation:
Let CP of 1 = 1, CP of 10 = 10, SP of 8 = 10 => SP of 1 = 10/8 = 1.25, gain = 25%.

This question belongs to: Maths Profit And Loss
Question #2
A man sells an article at a profit of 25%. If the cost price is Rs. 320, what is the selling price?
A. Rs. 400
B. Rs. 380
C. Rs. 420
D. Rs. 360

Correct Answer: Option A


Explanation:
SP = 320*1.25 = 400.

This question belongs to: Maths Profit And Loss
Question #3
The percentage of profit when an article is sold for Rs. 78 is twice than when it is sold for Rs. 69. The cost price of the article is:
A. Rs. 51
B. Rs. 57
C. Rs. 49
D. Rs. 60

Correct Answer: Option D


Explanation:
Let CP = x. Profit at 78 = 78 - x. Profit at 69 = 69 - x. Given: 78 - x = 2(69 - x). 78 - x = 138 - 2x. x = 138 - 78 = 60.

This question belongs to: Maths Profit And Loss