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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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