A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. What is his loss per cent ?

12 %

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13%

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14%

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15%

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Solution

The correct option is C 12 %
Suppose the number of items $= 100$
C.P. of each item $= R s .1$
Total C.P. $= R s .100$
Then number of items remaining after theft $= 80$
S.P. of $1$ item $= \frac{1 \times 110}{100} = R s .1 .10$
$∴$ S.P. of $80$ items $= 80 \times 1.1$
$= R s . 88$
$\Rightarrow L o s s = R s .100 - R s .88$
$= R s .12$
Loss $% = \frac{12}{100} \times 100 = 12 %$

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