Question

If the selling price of a TV set is equal to $\frac{6}{5}$ of its cost price, find the gain per cent.

Answer 1

Let the CP of the TV set be ₹x.
SP of the TV set = $\frac{6}{5}\mathrm{CP}=₹\frac{6}{5}x$
Gain = SP of the TV set − CP of the TV set = $\frac{6}{5}x-x=₹\frac{x}{5}$
Gain% = $\frac{\mathrm{Gain}}{\mathrm{CP}}\times 100\%=\frac{{\displaystyle \frac{x}{5}}}{x}\times 100\%=\frac{100}{5}\%=20\%$