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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 ?

A. 6 litres

B. 6.5 litres

C. 5.5 litres

D. 5 litres

Answer: Option D

Solution(By Examveda Team)

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
$$\eqalign{ & \Rightarrow \frac{{4 + x}}{{40 + x}} = \frac{{20}}{{100}} \cr & \Rightarrow x = 5 {\text{ litres}} \cr} $$

This Question Belongs to Arithmetic Ability >> Alligation

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