Question 102

A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk and water becomes 5 : 2. The quantity of milk in the mixture is

Solution

Let quantity of water in mixture = $$x$$ litres, => Quantity of milk = $$5x$$ litres

According to ques, => $$\frac{5x}{x+5}=\frac{5}{2}$$

=> $$\frac{x}{x+5}=\frac{1}{2}$$

=> $$2x=x+5$$

=> $$2x-x=5$$

=> $$x=5$$

$$\therefore$$ Quantity of milk = $$5\times5=25$$ litres

=> Ans - (A)

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