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1. 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

Solution:

Water content in 40 litres of mixture.

\begin{aligned} = 40 \times \frac{10}{100} \\ = 4 litres \end{aligned}

∴ Milk in the mixture.

\begin{aligned} =  40 - 4 \\ = 36 litres \end{aligned}

Let x litres of water is mixed

\begin{aligned} \Rightarrow \frac{4 + x}{40 + x} = \frac{20}{100} \\ \Rightarrow x = 5 litres \end{aligned}

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