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1. 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

Solution:

In 20 litres of mixture
Quantity of milk

\Rightarrow \frac{3}{4} \times 20 = 15 litres

Quantity of water

\Rightarrow \frac{1}{4} \times 20 = 5 litres

Let the quantity of milk added be x litres.
According to the question,

\begin{aligned} \Rightarrow \frac{15 + x}{5} = \frac{4}{1} \\ \Rightarrow 15 + x = 4 \times 5 \\ \Rightarrow x = 20 - 15 \\ \Rightarrow x = 5 litres \end{aligned}

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