Question

The cost price of an article is $\frac{4}{5}$ times of its selling price. Find the loss or the gain as percent.

• A. Gain : $15$ $\%$
• B. Gain : $25$ $\%$
• C. Loss : $10$ $\%$
• D. Loss : $30$ $\%$

Answer 1

The correct option is B Gain : $25$ $\%$

Given, $C.P.=\frac{4}{5}S.P.$
Therefore, $S.P.=\frac{5}{4}C.P.$
Since, $SP>CP$, there is a gain
Gain $=S.P.-C.P.=\frac{5}{4}C.P.-C.P.=\frac{1}{4}C.P.$
Gain $\%$ $=\frac{Gain}{C.P.}\times 100=\frac{1}{4}\times 100=25$ $\%$