If the selling price of frac{2}{3} of a certa | vedclass

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Question

(A) Let the total quantity of milk be $x$ units and the cost price of $1$ unit of milk be $C$. Total cost price of $x$ units of milk = $x 	imes C = x

Vedclass · Accepted Answer

$50\%$

Vedclass · Answer

(A) Let the total quantity of milk be $x$ units and the cost price of $1$ unit of milk be $C$. Total cost price of $x$ units of milk = $x 	imes C = xC$. According to the problem,the selling price of $\frac{2}{3}x$ units of milk is equal to the cost price of $x$ units of milk. Selling price of $\frac{2}{3}x$ units = $xC$. Therefore,the selling price of $1$ unit of milk = $\frac{xC}{\frac{2}{3}x} = \frac{3}{2}C = 1.5C$. Gain = Selling Price - Cost Price = $1.5C - C = 0.5C$. Gain percent = $\left( \frac{	ext{Gain}}{	ext{Cost Price}} ight) 	imes 100 = \left( \frac{0.5C}{C} ight) 	imes 100 = 50\%$.

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

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