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Previous Year Questions

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Question :

A vessel contains 350 liters of mixture of milk and water and milk is 50 liters less than the water. 'y' liters of the mixture is taken out from the vessel and replaced with 40 liters of milk. So the ratio of milk to water in the vessel becomes 1: 1 respectively. Find the value of 'y'?

1. 120

2. 100

3. 70

4. 80

5. 90

Correct Answer : 3
Solution :

Let milk be z liters.

So, water is z+50.

z + z + 50 = 350

2z = 300

z = 150

So, water and milk are 200 liters and 50 liters respectively.

Thus, the ratio of milk and water is 3:4 respectively in the mixture.

[150 - (3/7) *y + 40]: [200 - (4/7) *y] = 1:1

[190 - (3/7) *y]: [200 - (4/7) *y] = 1:1

190 - (3/7) *y = 200 - (4/7) *y

10 = (1/7) *y

y = 70.

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