By selling an article at 80 % of its marked price, a shopkeeper makes a loss of 10 % . What will be

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7.Profit and Loss

hard

By selling an article at $80 \%$ of its marked price, a shopkeeper makes a loss of $10 \% .$ What will be the profit percentage if he sells it at $95 \%$ of its marked price?

A

$6.9$

B

$5$

C

$5.9$

D

$12.5$

Solution

Let $MP$ be $Rs. 100$

$S P=80 \%$ of $M P=R s .80$

$CP ($ after $10 \%$ loss $)=\frac{80 \times 100}{100-10}=$ Rs. $\frac{800}{9}$

$\Rightarrow$ Profit\% $=\frac{\text { Profit }}{C P} \times 100$

$=\frac{(95 \% \text { of } MP )- CP }{ CP } \times 100=\frac{95-\frac{800}{9}}{\frac{800}{9}} \times 100=6.9 \%$

Standard 13

Quantitative Aptitude

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