In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to b

Question

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:

Options:

A . 20 litres

B . 30 litres

C . 40 litres

D . 60 litres

Answer: Option D

Quantity of milk = \((60\times\frac{2}{3})litres = 40 litres,\)

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be x litres.

Then, milk : water = \((\frac{40}{2+x})\)

Now, \((\frac{40}{2+x}) = \frac{1}{2}\)

\(\Rightarrow\) 20 + x = 80

\(\Rightarrow\) x = 60.

Therefore Quantity of water to be added = 60 litres.

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