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- Quantitative Aptitude
7.Profit and Loss
hard
By selling an umbrella for $Rs.\, 300,$ a shopkeeper gains $20 \%$. During a clearance sale, the shopkeeper allows a discount of $10 \%$ on the marked price. His gain per cent during the sale is
A
$7$
B
$7.5$
C
$8$
D
$9$
Solution
$S.P.$ $=$ $C.P.$ $\left(1+\frac{x}{100}\right)$ where $x$ is profit $\%$
$\therefore \quad 300= C \cdot P \cdot\left(1+\frac{20}{100}\right)$
or $C.P. =\frac{300}{1.2}=Rs. 250$
After discount, $S.P.$ $=300 \times\left(1-\frac{10}{100}\right)=Rs. 270$
$\therefore \quad \operatorname{Gain} \%=\frac{ S.P. – C.P. }{ C.P. } \times 100$
$=\frac{270-250}{250} \times 100=8 \%$
Standard 13
Quantitative Aptitude