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Ratio of water and milk in a container is 2 : 3. If 40 liter mixture removed from the container and same quantity of milk is added to it then the ratio of water to milk becomes 1 : 4. Find the initial quantity of mixture ?

75 lit
80 lit
85 lit
90 lit

Correct Answer: 80 lit

Explanation:

From the given data,

let the initial quantity of the mixture = 5x

Then,

$\frac{2 x - 16}{3 x - 24 + 40} = \frac{1}{4} 8 x - 64 = 3 x + 165 x = 80 x = 16 lit$

Then the initial quantity of the mixture = 5x = 5 x 16 = 80 lit.

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