Latest IBPS Aptitude Question SOLUTION: in a glass of milk, the portion of pure milk and water is 3:1, how much of the mixture must be withdrawn and substituted by water so that the resulting mixture become half pure mil

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(#M40036662) IBPS Numerical Ability question mixture Keep an EYE

in a glass of milk, the portion of pure milk and water is 3:1, how much of the mixture must be withdrawn and substituted by water so that the resulting mixture become half pure milk and half pure water

Asked In IBPS shrishti jain (10 years ago)

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Ann Theressa  (10 years ago)

1/3 of mixture.

Let there be y L of milk
===> 3/4*y is pure milk
1/4*y is water

Let x be the portion of mixture withdrawn
Now we have (y-x)L of mixture
pure milk = 3/4*(y-x)
water = 1/4*(y-x)

The portion withdrawn is replaced by water (ie x Liters of water is added)
Quantity of water = 1/4*(y-x)+ x

Since the resulting solution is half pure water, quantity of water is y/2
ie,
1/4*(y-x)+ x = y/2
3/4*x = 1/4*y
3x = y
x = 1/3*y
===> 1/3 rd of the mixture must be withdrawn and replaced by water.

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