ABC26GN2735 · Profit and Loss

Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2008 · Marks: · Difficulty:

A shopkeeper sells an article at $12 \frac{1}{2} \%$ loss. If he sells it for ₹ 92.50 more then he gains 6\%. What is the cost price of the article?
(a)₹ 500
(b)₹ 510
(c)₹ 575
(d)₹ 600
Answer
Answer (as printed): A
Explanation
Let C.P. be ₹ $x$. Then, $$\begin{aligned} & (106 \% \text { of } x)-\left(87 \frac{1}{2} \% \text { of } x\right)=92.50 \\ & \Rightarrow 18 \frac{1}{2} \% \text { of } x=92.50 \Rightarrow x=\left(\frac{92.50 \times 100 \times 2}{37}\right)=500 . \end{aligned}$$

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

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