A container has 160 litres of pure milk and X litres of milk was drawn and replaced with same quanti...........

Quantitative Aptitude(IBPS CL) Mixture and Alligation

A container has 160 litres of pure milk and X litres of milk was drawn and replaced with same quantity of water. Now milk becomes three times of water. If 20 litres of mixture was taken out and replaced with same quantity of water, find the quantity of water in final mixture.

64 litres

72 litres

40 litres

55 litres

50 litres

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Explanation:

According to the data provided in the question, we get:
(160 – X) = 3X
⇒ 160 = 4X
⇒ X = 40
The quantity of milk in the container = 160 – 40 = 120 litres
The quantity of water in the container = 40 litres
Ratio of the milk to water in the container = 120 : 40 = 3 : 1
The quantity of milk that is taken out =3/4 x 20 = 15 litres
The quantity of water that is taken out =1/4 x 20 = 5 litres
Quantity of the water in the final mixture = 40 – 5 + 20 = 55 litres