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Question

A man purchases two fans for Rs. 2160. By selling one fan at a profit of 15% and the other at a loss of 9% he neither gains nor losses in the whole transaction. Find the cost price of each fan.

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Solution

Let the cost price of the first fan be Rs. x. Then,

Cost price of second fan =Rs. (2160x)

It is given that

In the whole transaction, the man neither gains nor loses.

Gain on the sale of first fan = Loss in the sale of the second fan

15% of Rs. x=9% of Rs. (2160x)

15100×x=9100×(2160x)

15x=9(2160x)

5x=3(2160x)

5x=64803x

5x+3x=6480

8x=6480

x=810

Cost price of first fan =Rs. 810

Cost price of second fan =Rs. (2160x)=Rs. (2160810)=Rs. 1350.


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