In a certain store, profit is 320 % of cost. If cost increases by 25 % but selling price remains con

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7.Profit and Loss

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In a certain store, the profit is $320 \%$ of the cost. If the cost increases by $25 \%$ but the selling price remains constant, approximately what percentage of the selling price is the profit?

A

$30$

B

$70$

C

$100$

D

$250$

Solution

Let $x$ be the initial cost price.

$\therefore S.P. =420 \%$ of $x=4.2 x, \%$ profit $=3.2 x$

If $C.P.$ is increased by $25 \%$

New $C.P. =1.25 x, \quad$ New $S.P. =4.2 x$

$\therefore \quad$ Profit $= S.P. – C.P. =(4.2-1.25) x=2.95 x$

$\therefore \quad$ Required percentage $=\left(\frac{2.95 x}{4.2 x} \times 100\right) \%=\frac{1475}{21}=70 \%$

Standard 13

Quantitative Aptitude

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