A trader marked price of his commodity so as to include a profit of 25 % . He allowed discount of 16

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7.Profit and Loss

hard

A trader marked the price of his commodity so as to include a profit of $25 \% .$ He allowed discount of $16 \%$ on the marked price. His actual profit was (in $\%$)

A

$5$

B

$9$

C

$16$

D

$25$

Solution

Marked price $=1.25 \times$ cost price

$S.P.$ $=(100-16) \%$ of marked price

$=84 \%$ of marked price

$=\frac{84}{100} \times 1.25 \times \cos t$ price

$=\frac{21}{25} \times 1.25 \times \operatorname{cost}$ price $=21 \times 0.05 \times \operatorname{cost}$ price

$=1.05 \times$ cost price

$\therefore \quad$ profit $\%=\frac{1.05-1}{1} \times 100=5 \%$

Standard 13

Quantitative Aptitude

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