A man buys 300 dozen of bananas for Rs., 3,600 . He sold 1 / 3^{rd} of stock at a loss of 10 % and r

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7.Profit and Loss

hard

A man buys $300$ dozen of bananas for $Rs.\, 3,600$. He sold $1 / 3^{rd}$ of the stock at a loss of $10 \%$ and the remaining $2 / 3^{rd}$ stock at a gain of $10 \% .$ Find his overall percent profit or loss.

A

$\frac{10}{3} \%$ gain

B

$\frac{10}{3} \%$ loss

C

$\frac{14}{3} \%$ loss

D

$\frac{14}{3} \%$ gain

Solution

$\%$ profit $=[m x-(1-m) y] \%$

$x=10 ; y=10 ; m=\frac{1}{3} ; 1-m=\frac{2}{3}$

$\therefore \%$ profit $=\frac{1}{3} \times 10-\frac{2}{3} \times 10=\frac{-10}{3} \%$

$\therefore \operatorname{loss} =\frac{10}{3} \%$

Standard 13

Quantitative Aptitude

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