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.
Let the cost price of the first fan be Rs. x. Then,
Cost price of second fan =Rs. (2160−x)
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. (2160−x)
⇒15100×x=9100×(2160−x)
⇒15x=9(2160−x)
⇒5x=3(2160−x)
⇒5x=6480−3x
⇒5x+3x=6480
⇒8x=6480
⇒x=810
Cost price of first fan =Rs. 810
Cost price of second fan =Rs. (2160−x)=Rs. (2160−810)=Rs. 1350.