How many litres of a 12 litre mixture containing alcohol and water in the ratio of 2 $:$ 3 be replaced with clear alcohol to get resultant mixture that contains alcohol and water in same ratio?

1.5L

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2.5L

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Solution

The correct option is B
2L

The mixture has 40 $%$ alcohol and 60 $%$ water in it, which means 4.8L of alcohol and 7.2L of water.

To make a mixture with 50 $%$ alcohol and 50 $%$ water each, we will have 6L of alcohol and 6L of water.

So the amount of water is reduced by 1.2L.

To reduce 1.2L of water from the initial mixture, we need to reduce $\frac{1.2}{0.6}$ L = 2L of mixture

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How many litres of a 12 litre mixture containing alcohol and water in the ratio of 2:3 be replaced with clear alcohol to get resultant mixture that contains alcohol and water in same ratio?

How many litres of a 12 litre mixture containing alcohol and water in the ratio of 2 $:$ 3 be replaced with clear alcohol to get resultant mixture that contains alcohol and water in same ratio?