Cost price of an article is 64 % of marked price. Calculated gain per cent after allowing a discount

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7.Profit and Loss

hard

The cost price of an article is $64 \%$ of the marked price. Calculated the gain per cent after allowing a discount of $12 \%$

A

$37.5$

B

$48$

C

$50.5$

D

$52$

Solution

$C.P.$ of article $=\frac{64}{100}$ of marked price

$S.P.$ of article $=(100-12) \%$ of marked price

$\therefore \quad \operatorname{gain} \%=\frac{ S.P. – C.P. }{ C.P. } \times 100$

$=\frac{\frac{88}{100}-\frac{64}{100}}{\frac{64}{100}} \times 100=\frac{24}{64} \times 100=\frac{3}{8} \times 100=37.5 \%$

Standard 13

Quantitative Aptitude

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