Question Details

Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, was

Options

A

8000

B

6000

C

4000

D

2000

Show Answer

Correct Answer :

Option C

4000

Solution :

Let the purchase price (cost price) of each bicycle be C rupees.

Mukesh sold 6 bicycles at a profit of 25%:

Profit from 6 bicycles=6×0.25C=1.5C

He sold the remaining 4 bicycles at a loss of 25%:

Loss from 4 bicycles=4×0.25C=1C

The net profit is the difference between the total profit and total loss:

Net Profit=1.5C1C=0.5C

Given that the total net profit is Rs. 2000:

0.5C=2000

C=4000

Therefore, the purchase price of a bicycle was Rs. 4000.

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