Question

a trader calculates his profit on the basis of cost price and another on the basis of selling price. if their selling price are equal then the difference of their actual profits is rs 85 and also both get 20% profit. what is theit selling price.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{selling}\mathrm{price}\mathrm{be}\mathrm{x}. \\ \mathrm{Profit}\mathrm{Percentage}=20\% \\ \mathrm{Profit}\mathrm{for}\mathrm{trader}\mathrm{A}\mathrm{on}\mathrm{cost}\mathrm{price}=\frac{20}{100}\times \mathrm{cost}\mathrm{price}=\frac{1}{5}\mathrm{cost}\mathrm{price} \\ =\frac{1}{5+1}\mathrm{selling}\mathrm{price}=\frac{\mathrm{x}}{6} \\ \mathrm{Profit}\mathrm{for}\mathrm{trader}\mathrm{B}\mathrm{on}\mathrm{selling}\mathrm{price}=\frac{20}{100}\times \mathrm{selling}\mathrm{price}=\frac{\mathrm{x}}{5} \\ \mathrm{Difference}\mathrm{of}\mathrm{profit}=\mathrm{Rs}.85 \\ \frac{\mathrm{x}}{5}-\frac{\mathrm{x}}{6}=85 \\ \frac{6\mathrm{x}-5\mathrm{x}}{30}=85 \\ \mathrm{x}=2550 \\ \mathrm{Selling}\mathrm{price}\mathrm{is}\mathrm{Rs}.2550. \end{gathered}$$