ashkg wrote:

A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x?

(1) 6 litres (2) 10 litres

(3) 30 litres (4) None of these

(2) is the answer

Container = 60 litres

Milk left after x litres were taken = 2/5*(60-x)

x litres of milk were added later

the proportion of milk to water in the resulting mixture was 1/2 to 1/2

therefore, 30 litres of milk were in the resulting mixture

=> 2/5*(60-x) +x = 30

=> x=10.

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