A mixture of $40$ litres of milk and water contains $10 %$ of water. How much water is to be added to the mixture so that the water may be $20 %$ in the new mixture.

5

Litres

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4

Litres

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6.5

Litres

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7.5

Litres

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Solution

The correct option is A $5$ Litres
In mixture of $40$ litre water is $10$ i.e. $4$ litre.
Let x litre of water be added.
According to the question,
$\frac{4 + x}{40 + x} = \frac{20}{100} = \frac{1}{5}$
$20 + 5 x = 40 + x$
$4 x = 20$
$x = 5$

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A mixture of 40 litres of milk and water contains 10 $%$ water. How much water must be added to make water 20 $%$ in the new mixture?

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