Question

Find the cost price, if $S.P.=Rs.22$ and $\text{loss}\%=12\%.$

Answer 1

Let the cost price be $x.$

$SP=Rs.22$

$\text{loss}\%=12\%$

Now,

$\begin{array}{cc}\text{loss}\%& =\frac{CP-SP}{CP}\times 100\\ 12& =\frac{x-22}{x}\times 100\\ 0.12x& =x-22\\ x-0.12x& =22\\ 0.88x& =22\\ x& =Rs.25\end{array}$

Hence, $CP$ is equal to $Rs.25.$