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20 litres of a mixture contains milk and water in the ratio 3 : 1. Then the amount of milk to be added to the mixture so as to have milk and water in ratio 4 : 1 is-

A. 7 litres B. 4 litres C. 5 litres D. 6 litres Answer: Option C
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Solution(By Apex Team)

$\begin{aligned}&\text{In 20 litres of mixture}\\ &\text{Quantity of milk}\\ &\Rightarrow\frac{3}{4}\times20=15\text{ litres }\\ &\text{Quantity of water}\\ &\Rightarrow\frac{1}{4}\times20=5\text{ litres }\end{aligned}$ Let the quantity of milk added be x litres. According to the question, $\begin{aligned}&\Rightarrow\frac{15+x}{5}=\frac{4}{1}\\ &\Rightarrow15+x=4\times5\\ &\Rightarrow x=20-15\\ &\Rightarrow x=5\text{ litres }\end{aligned}$

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