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

16

litres

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22.75

litres

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25

litres

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32.5

litres

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Solution

The correct option is D $25$ litres
In the original mixture, let milk = 5x litres and water = x litres
Then, $\frac{5 x}{x + 5} = \frac{5}{2} \Rightarrow 10 x = 5 x + 25 \Rightarrow 5 x = 25 \Rightarrow x = 5$
$∴$ Quantity of milk in original mixture = 25 litres.

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

The correct option is D 25 litresIn the original mixture, let milk = 5x litres and water = x litresThen, 5xx+5=52⇒10x=5x+25⇒5x=25⇒x=5∴ Quantity of milk in original mixture = 25 litres.

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

The correct option is D $25$ litres
In the original mixture, let milk = 5x litres and water = x litres
Then, $\frac{5 x}{x + 5} = \frac{5}{2} \Rightarrow 10 x = 5 x + 25 \Rightarrow 5 x = 25 \Rightarrow x = 5$
$∴$ Quantity of milk in original mixture = 25 litres.