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
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