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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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