Question

A trader marks his goods 40% above the cost price .he then sells them at discount of 5% . what is his gain or lost percantage?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{CP}\mathrm{of}\mathrm{the}\mathrm{good}=\mathrm{Rs}x \\ \mathrm{Now},\mathrm{MP}=\mathrm{Rs}\left(x+40\%\mathrm{of}x\right)=\mathrm{Rs}\left(\frac{7x}{5}\right) \\ \mathrm{Rate}\mathrm{of}\mathrm{discount}=5\% \\ \mathrm{discount}=5\%\mathrm{of}\mathrm{Rs}\left(\frac{7x}{5}\right)=\frac{5}{100}\times \frac{7x}{5}=\mathrm{Rs}\left(\frac{7x}{100}\right) \\ \mathrm{Now}, \\ \mathrm{SP}=\mathrm{MP}-\mathrm{discount} \\ =\left(\frac{7x}{5}\right)-\left(\frac{7x}{100}\right) \\ =\frac{140x-7x}{100}=Rs\left(\frac{133x}{100}\right)=Rs1.33x \\ \mathrm{Now},\mathrm{Profit}=\mathrm{SP}-\mathrm{CP}=1.33x-x=Rs0.33x \\ \mathrm{Profit}\%=\left[\frac{\mathrm{profit}}{\mathrm{CP}}\times 100\right]\% \\ =\left[\frac{0.33x}{x}\times 100\right]\%=33\% \end{gathered}$$