Question

A dealer sells a radio at a profit of $8$%. Had he sold it for $Rs.85$ less, he would have lost $2$%. Find the cost price of the radio

Answer 1

Let the cost price of the radio be x. Let us calculate the selling price with $8$% profit and $2$% loss, separately.

With $8$% profit: We have here $S.P.=\frac{(100+gain\%)}{100}\times C.P.$ $=\frac{(100+8)}{100}\times C.P.$ $=\frac{54}{50}x$.

With $2$% loss: We obtain here $S.P.=\frac{(100-loss\%)}{100}\times C.P.$ $=\frac{(100-2)}{100}\times C.P.$ $=\frac{49}{50}x$.