### 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 Apex Team)

Water content in 40 litres of mixture. \begin{aligned}&=40\times\frac{10}{100}\\ &=4\text{ litres }\\ &\text{∴ Milk in the mixture.}\\ &=40-4\\ &=36\ \text{litres}\\ &\text{Let x litres of water is mixed}\\ &\Rightarrow\frac{4+x}{40+x}=\frac{20}{100}\\ &\Rightarrow x=5\text{ litres }\end{aligned}

## Related Questions On Alligation

A. 2 : 5
B. 3 : 5
C. 5 : 3
D. 5 : 2

### An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $\large\frac{1}{2} \mathrm{~kg}$
B. $\large\frac{1}{8} \mathrm{~kg}$
C. $\large\frac{3}{14} \mathrm{~kg}$
D. $\large\frac{7}{9} \mathrm{~kg}$

A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres