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Milk contains 5% water .What quantity of pure milk should be added to 10 litres of milk to reduce this to 2% ?

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5 liters

7 liters

11 liters

15 liters

answer is D.

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Detailed Solution

Amount of pure milk in the 10 liters of mixture milk and water is 95% of 10 liter =

\frac{95}{100} \times 10 = 9.5

L
The amount of water is 0.5litre.
Let the amount of pure milk added to the mixture be x L.
So the new amount of pure milk is 9.5+x.
The ratio of water and milk after addition of pure milk =

\frac{2 %}{98 %} = \frac{0.2}{9.8}

\Rightarrow \frac{0.5}{9.5 + x} = \frac{0.2}{9.8}

\Rightarrow x = 15

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