A dishonest milkman mixes water with the milk that he sells in such a way that the ratio of pure milk and water is 3:2. What amount of pure milk is contained in a quarter of 1 L of milk

Dear Student.

The ratio of pure milk and water is 3 : 2.
So, suppose the amount of pure milk and water are 3x and 2x respectively.
Total amount of milk = quarter of 1 L = $\frac{1}{4}$ L
So, $3x +2x = \frac{1}{4}$
 $$\begin{gathered} \Rightarrow 5x = \frac{1}{4} \\ \Rightarrow x = \frac{1}{20} \end{gathered}$$
Therefore, amount of pure milk in a quarter of milk = $3x = 3\times \frac{1}{20} = \frac{3}{20}$L

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