Question

A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs 1250?

Answer 1

$$\begin{gathered} \mathrm{Given}, \\ \mathrm{MP}\mathrm{of}\mathrm{the}\mathrm{fan}=\mathrm{Rs}.1250 \\ \mathrm{Discount}=10\% \\ \mathrm{So},\mathrm{Discount}=10\%\mathrm{of}1250 \\ =0.10\times 1250 \\ =\mathrm{Rs}.125 \\ \mathrm{Since}\mathrm{SP}=\mathrm{MP}-\mathrm{Discount}, \\ S\mathrm{P}=\mathrm{Rs}.\left(1250-125\right) \\ =\mathrm{Rs}.1125 \\ Now, \\ SPofthefan=Rs.1125 \\ Profit=25\% \\ \mathrm{CP}=\left[\frac{100}{\left(100+Profit\%\right)}\times \mathrm{SP}\right] \\ =\left[\frac{100}{125}\right]1125 \\ =\mathrm{Rs}.900 \\ \mathrm{Thus},the\cos tpriceofthefanis\mathrm{Rs}.900. \end{gathered}$$