A shopkeeper has to sell 24, Kg of sugar. He sells a part of these at a gain of 20 % and rest at a l

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7.Profit and Loss

hard

A shopkeeper has to sell $24\, Kg$ of sugar. He sells a part of these at a gain of $20 \%$ and the rest at a loss of $5 \% .$ If on the whole he earns a profit of $10 \%$, the amount of Sugar sold at a loss is in $Rs.$?

A

$7.5$

B

$9.6$

C

$10$

D

Cannot be determined

Solution

Let quantity sold at loss be $x$ kg and let $CP$ per $kg$ Be $Rs. 1.$ Total $C P=R s .24$

Total $S P=R s .[120 \%$ of $(24-x)+95 \%$ of $x]$

$=$ Rs. $\left[\frac{6}{5}(24-x)+\frac{19 x}{20}\right]=$ Rs. $\left[\frac{576-5 x}{20}\right]$

$\frac{576-5 x}{20}=110 \%$ of $24, \quad 576-5 x=528$

$5 x=48 \Rightarrow x=$ $Rs. 9.6$

Standard 13

Quantitative Aptitude

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