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40 litres of a mixture of milk and water contains 10% of water, the water to be added, to make the water content 20% in the new mixture. Find how many litres water will be added ?

Correct Answer: 5 litres
Water content in 40 litres of mixture.
$$\eqalign{ & = 40 \times \frac{{10}}{{100}} \cr & = 4{\text{ litres}} \cr} $$
∴ Milk in the mixture.
$$\eqalign{ & {\text{ = 40}} - 4 \cr & = 36{\text{ litres}} \cr} $$
Let x litres of water is mixed
$$\eqalign{ & \Rightarrow \frac{{4 + x}}{{40 + x}} = \frac{{20}}{{100}} \cr & \Rightarrow x = 5 {\text{ litres}} \cr} $$

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