Question

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 per cent in this transaction?

• A. 50%
• B. 48%
• C. 53%
• D. 51%
• E. None of these

Answer 1

The correct option is A 50%

Let, the quantity of milk be $x$ litre.
Then, $m=x$, $n=\frac{2}{3}x.$
$\therefore Gain\%=\left(\frac{m-n}{n}\right)\times 100=\left(\frac{x-\frac{2}{3}x}{\frac{2}{3}x}\right)\times 100=\frac{1}{2}\times 100=50\%$