ABC26GN2835 · Profit and Loss

Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:

By selling an article at $\frac{2}{5}$ of the marked price, there is a loss of 25\%. The ratio of the marked price and the cost price of the article is
(a)2 : 5
(b)5 : 2
(c)8 : 15
(d)15 : 8
Answer
Answer (as printed): D
Explanation
Let cost price $=₹ 100$. Then, $$\begin{aligned} & \frac{2}{5} \text { of Marked Price }=75 \\ & \Rightarrow \text { Marked Price }=₹\left(\frac{75 \times 5}{2}\right)=₹\left(\frac{375}{2}\right) . \\ & \therefore \text { Required ratio }=\frac{375}{2}: 100=375: 200=15: 8 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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