A milkman purchases milk at the rate of ₹12 per litre and then mixes $25 %$ water to it. Find his profit $%$ , if he sells the mixture at ₹ 15 per litre.

$65.25 %$

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$56.25 %$

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$55.5 %$

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$66 %$

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Solution

The correct option is B
$56.25 %$

Given that milk was purchased at the rate of ₹ 12 per litre.

Let the number of litres of milk purchased be $x .$

So, $C P = ₹ 12 x$

Given $25 %$ water is mixed to the milk.

Hence, the quantity of milk after mixing water $= x + \frac{x}{4} = \frac{5 x}{4}$ litres

Hence, $S P$ of $\frac{5 x}{4}$ litres of milk $= 15 \times \frac{5 x}{4} = ₹ 18.75 x$

It can be seen that $S P > C P$ , so it is a profit.

Profit $= 18.75 x - 12 x = ₹ 6.75 x$

So, $profit % = (\frac{Profit}{C P}) \times = (\frac{6.75 x}{12 x}) \times 100 = 56.25 %$

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A milkman purchases milk at the rate of ₹12 per litre and then mixes 25% water to it. Find his profit %, if he sells the mixture at ₹ 15 per litre.

A milkman purchases milk at the rate of ₹12 per litre and then mixes $25 %$ water to it. Find his profit $%$ , if he sells the mixture at ₹ 15 per litre.