Question Bank › General Aptitude › Profit and Loss › ABC26GN2849ABC26GN2849 · Profit and Loss Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
If the selling price of an article is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.
(a) 1 : 5
(b) 1 : 6
(c) $7: 30$
(d) 11 : 30
Answer Explanation 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 $=\frac{70}{3}: 100=\frac{7}{3}: 10=7: 30$.
Explanation as extracted from the printed page; notation may be imperfect.
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