Profit earned by selling an article for Rs., 900 is double loss incurred when same article is sold f

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7.Profit and Loss

medium

The profit earned by selling an article for $Rs.\, 900$ is double the loss incurred when the same article is sold for $Rs.$ $450 .$ At what price should the article be sold to make $25 \%$ profit in $Rs.$?

A

$400$

B

$500$

C

$700$

D

$750$

Solution

Let $C P$ be Rs. $x$

then, $900-x=2(x-450)$ [Profit $= 2$ Loss]

$3 x=1800 \Rightarrow x=$ $Rs. 600$

$CP = Rs .600,$ gain required $=25 \%$

$SP =(100+\operatorname{gain} \%) \times \frac{ CP }{100}$

$S P=(100+25) \times \frac{600}{100}=$ $Rs. 750$

Standard 13

Quantitative Aptitude

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