How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?

$$\eqalign{ & \Rightarrow \frac{{{\text{Cost price}}}}{{{\text{Marked price}}}} \cr & {\text{ = }}\frac{{100 - {\text{Discount}}\% }}{{100 + {\text{Profit}}\% }} \cr & {\text{ = }}\frac{{100 - 12}}{{100 + 32}} \cr & {\text{ = }}\left. {\frac{{88}}{{132}}} \right]{\text{ 44}} \cr & \therefore {\text{Required }}\% {\text{ }} \cr & = \frac{{44}}{{88}} \times 100 \cr & = 50\% \cr} $$