ABC26GN2646 · Profit and Loss

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

The percentage profit earned by selling an article for ₹ 1920 is equal to the percentage loss incurred by selling the same article for ₹ 1280. At what price should the article be sold to make 25\% profit?
(a)₹ 2000
(b)₹ 2200
(c)₹ 2400
(d)Data inadequate
(e)None of these
Answer
Answer (as printed): A
Explanation
Let C.P. be ₹ $x$. $$\begin{aligned} & \text { Then, } \frac{1920-x}{x} \times 100=\frac{x-1280}{x} \times 100 \Rightarrow 1920-x=x-1280 \\ & \Rightarrow 2 x=3200 \Rightarrow x=1600 . \\ & \begin{aligned} \therefore \text { Required S.P. } & =125 \% \text { of } ₹ 1600 \\ = & ₹\left(\frac{125}{100} \times 1600\right)=₹ 2000 . \end{aligned} \end{aligned}$$

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

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