A shopkeeper expects a gain of 22 frac{1}{2} % on his cost price. If in a week, his sale was of Rs.

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7.Profit and Loss

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A shopkeeper expects a gain of $22 \frac{1}{2} \%$ on his cost price. If in a week, his sale was of $Rs. \,392$ what was his profit? (in $Rs$)

A

$18.20$

B

$70$

C

$72$

D

$88.25$

Solution

Let his profit be $Rs$ $x$.

cost price $\times\left(1+\frac{22.5}{100}\right)=$ Selling price $=Rs. 392$

$\therefore$ cost price $=\frac{392 \times 100}{122.5}=\frac{392 \times 1000}{1225}=320$

$\therefore \quad$ Profit $= S . P. – C.P. =392-320=Rs. 72$

Standard 13

Quantitative Aptitude

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