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7.Profit and Loss
medium
$X$ sells two articles for $Rs.\, 4,000$ each with no loss and no gain in the interaction. If one was sold at a gain of $25 \%$ the other is sold at a loss of........$\%$
A
$25$
B
$18 \frac{2}{9}$
C
$16 \frac{2}{3}$
D
$20$
Solution
$S.P.$ of both the articles is same here. So, profit on one article is equal to the loss on the other. Let the loss $\%$ be $x,$ then $\Rightarrow 25-x-\frac{25 x}{100}=0$
$\Rightarrow \frac{2500-100 x-25 x}{100}=0$
$\Rightarrow \frac{2500-125 x}{100}=0$
$\Rightarrow 2500-125 x=0$
$\Rightarrow \quad-125 x=-2500$
$\Rightarrow x=\frac{-2500 x}{-125}$
$\Rightarrow \quad x=20$
Standard 13
Quantitative Aptitude
