How many litres of a 12 litre mixture containing milk and water in the ratio of 2 3 be replaced with......

How many litres of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion?

The mixture contains 40% milk and 60% water in it. That is 4.8 litres of milk and 7.2 litres of water.
Now we are replacing the mixture with pure milk so that the amount of milk and water in the mixture is 50% and 50%.

That is we will end up with 6 litres of milk and 6 litres of water.
Water gets reduced by 1.2 litres.
To remove 1.2 litres of water from the original mixture containing 60% water,

we need to remove 1.20.6 litres of the mixture = 2 litres.

Hence, option 3 is the correct answer.

By: Amit Kumar