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. 2000
B. Rs. 1000
C. Rs. 1200
D. Rs. 1500
Answer: Option B
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
A dealer sells two machines for Rs. 9600 each. On one he gains 20% and on the other he loses 20%. Find his total loss or gain in rupees.
A. No loss no gain
B. Rs. 400 loss
C. Rs. 800 loss
D. Rs. 800 gain

Correct Answer: Option C


Explanation:
Cost Price of first machine = 9600 / 1.20 = 8000. Cost Price of second machine = 9600 / 0.80 = 12000. Total Cost Price = 8000 + 12000 = 20000. Total Selling Price = 9600 + 9600 = 19200. Loss = 20000 - 19200 = Rs. 800.

This question belongs to: Maths Profit And Loss
Question #2
A man sells a watch for Rs. 720, gaining 20%. What is the cost price?
A. Rs. 600
B. Rs. 640
C. Rs. 680
D. Rs. 560

Correct Answer: Option A


Explanation:
CP = 720 / 1.20 = 600.

This question belongs to: Maths Profit And Loss
Question #3
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. 7%
B. 8%
C. 7.5%
D. 9%

Correct Answer: Option B


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