Question

What price should Aslam mark on a pair of shoes which costs him Rs 1200 so as to gain 12% after allowing a discount of 16%?

Answer 1

$$\begin{gathered} Given, \\ \mathrm{CP}\mathrm{of}\mathrm{the}\mathrm{pair}\mathrm{of}\mathrm{shoes}=\mathrm{Rs}.1470 \\ \mathrm{Gain}=12\% \\ \mathrm{Discount}=16\% \\ \mathrm{So},\mathrm{SP}=\mathrm{Rs}.\left(\frac{100+\mathrm{Gain}}{100}\times \mathrm{CP}\right) \\ =\mathrm{Rs}.\left(\frac{100+12}{100}\times 1200\right) \\ =\mathrm{Rs}.1344 \\ \mathrm{Now}, \\ \mathrm{SP}\mathrm{of}\mathrm{the}\mathrm{pair}\mathrm{of}\mathrm{shoes}=\mathrm{Rs}.1344 \\ D\mathrm{iscount}=16\% \\ \mathrm{So},\mathrm{MP}=\mathrm{Rs}.\left(\frac{100\times \mathrm{SP}}{100-\mathrm{Discount}\%}\right) \\ =\mathrm{Rs}.\left(\frac{100\times 1344}{100-16}\right)=\mathrm{Rs}.1600 \\ AslamshouldsellthepairofshoesforRs.1600. \end{gathered}$$