A shopkeeper sells rice at 10 % profit and uses weight 30 % less than actual measure. His gain perce

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7.Profit and Loss

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A shopkeeper sells rice at $10 \%$ profit and uses weight $30 \%$ less than the actual measure. His gain percent is

A

$57 \frac{2}{3}$

B

$57 \frac{1}{7}$

C

$57 \frac{2}{5}$

D

$57 \frac{3}{7}$

Solution

Let $C.P$ of $1$ $gm$ rice $=₹ 1$

Let he shells $100 gm \stackrel{ CP }{\longrightarrow} ₹ 100$

$S.P$ of $100\, gm$ with profit $10 \%=₹ 110$

But he actually sells $\rightarrow 70 \%$ ( 100 ) $gm =70 gms$

So, he sells $70$ $gm$ rice at $₹ 110$

$P \%=\frac{110-70}{70} \times 100=57 \frac{1}{7} \%$

Standard 13

Quantitative Aptitude

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