If selling price of frac{2}{3} of a certain quantity of milk be equal to cost price of whole milk, t

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7.Profit and Loss

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If the selling price of $\frac{2}{3}$ of a certain quantity of milk be equal to the cost price of whole milk, then what will be the gain percent in this transaction?

A

$50$

B

$48$

C

$53$

D

None of these

Solution

Let, the quantity of milk be $x$ litre.

Then, $m=x, n=\frac{2}{3} x$

$\therefore \quad$ Gain $\%=\left(\frac{m-n}{n}\right) \times 100=\left(\frac{x-\frac{2}{3} x}{\frac{2}{3} x}\right) \times 100$

$=\frac{1}{2} \times 100=50 \%$

Standard 13

Quantitative Aptitude

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