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Previous Year Questions

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Question :

A vessel contains 60 liters mixture of water and milk in certain ratio. When 25% mixture is replaced by water, and this process is repeated two more times. If the final quantity of milk in the mixture is 18.9 liters, then what is the initial quantity of water?

1. 12.8 liters

2. 15.2 liters

3. 20 liters

4. 18.6 liters

5. 13.4 liters

Correct Answer : 2
Solution :

Quantity of mixture = 60 liters

Let initial quantity of water = (60 - a) liters

Then, initial quantity of milk = a liters

When 25% mixture is replaced by water, and this process continues for two more times, then

Quantity of milk in the mixture becomes

18.9 = (100 - 25)% of (100 - 25)% of (100 - 25)% of a

a = 44.8 liters

Therefore, initial quantity of water = 60 - 44.8 = 15.2 liters

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