A man buys two items for a total of Rs. 3000. He sells one at a 20% profit and the other at a 10% loss. If he makes no overall profit or loss, what is the cost price of the first item? MCQ with Answer and Explanation

A man buys two items for a total of Rs. 3000. He sells one at a 20% profit and the other at a 10% loss. If he makes no overall profit or loss, what is the cost price of the first item?
A. Rs. 1500
B. Rs. 1200
C. Rs. 2000
D. Rs. 1000
Answer: Option D
Solution (By JKSSB Mock Tests)
Let Cost Price of first item = x. Cost Price of second = 3000 - x. Profit = 0.20x. Loss = 0.10(3000 - x). 0.20x = 300 - 0.10x. 0.30x = 300. x = 1000.

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Practice More Profit And Loss Questions

Question #1
If the selling price of an article is Rs. 405 and the profit is 35%, find the cost price.
A. Rs. 310
B. Rs. 320
C. Rs. 300
D. Rs. 290

Correct Answer: Option C


Explanation:
CP = 405 / 1.35 = 300.

This question belongs to: Maths Profit And Loss
Question #2
A dealer sells an article at a loss of 4%. Had he sold it for Rs. 120 more, he would have gained 8%. What is the cost price of the article?
A. Rs. 1200
B. Rs. 800
C. Rs. 1000
D. Rs. 900

Correct Answer: Option C


Explanation:
The difference between an 8% gain and a 4% loss is 12% of the cost price. So, 12% of CP = 120. CP = (120 * 100) / 12 = Rs. 1000.

This question belongs to: Maths Profit And Loss
Question #3
A shopkeeper sells a mobile for Rs. 8000, losing 20%. Find the cost price.
A. Rs. 9000
B. Rs. 10000
C. Rs. 9600
D. Rs. 10400

Correct Answer: Option B


This question belongs to: Maths Profit And Loss