A fair price shopkeeper makes 10 % profit on his goods. He lost 20 % goods during theft. His. loss p

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7.Profit and Loss

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A fair price shopkeeper makes $10 \%$ profit on his goods. He lost $20 \%$ goods during theft. His. loss percent is

A

$8$

B

$10$

C

$11$

D

$12$

Solution

Let $C.P.$ of goods be $Rs. x / e a c h$

$\therefore \quad$ Total $C.P. =Rs. x \times y$

$S.P$ for $\frac{4 y}{5}$ items $=1.1 x \times \frac{4 y}{5}$

$S.P.$ $=\frac{4.4}{5} x y$

$\therefore \quad \operatorname{loss} \%=\frac{\text { C.P. }-\text { S.P. }}{\text { C.P. }} \times 100$

$=\frac{x y-\frac{4.4}{5} x y}{x y} \times 100$

$=\left(1-\frac{4.4}{5}\right) \times 100=\frac{0.6}{5} \times 100=12 \%$

Standard 13

Quantitative Aptitude

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