If the selling price of an article is five times the discount offered and if the percentage of discount is… · ABC26GN2849

Let C.P. $=₹ 100$ and Profit $=x \%$. Then, S.P. $=₹(100+x)$. Now, discount $=\frac{1}{5} \times$ S.P. So, $$\begin{aligned} & \text { M.P. }=(\text { S.P. }+ \text { discount })=\frac{6}{5} \text { S.P. } \\ & \text { Discount } \%=\text { Profit } \% \Rightarrow \frac{\frac{1}{5} \text { S.P. }}{\frac{6}{5} \text { S.P. }} \times 100=x \Rightarrow x=\frac{50}{3} . \end{aligned} \begin{aligned} \text { Discount }=\frac{1}{5} \times \text { S.P. } & =₹\left[\frac{1}{5}(100+x)\right]=₹\left[\frac{1}{5}\left(100+\frac{50}{3}\right)\right] \\ = & ₹\left(\frac{1}{5} \times \frac{350}{3}\right)=₹\left(\frac{70}{3}\right) . \end{aligned}$$ ∴ Required ratio $=\frac{70}{3}: 100=\frac{7}{3}: 10=7: 30$.