A milkman adds 10 litre water in 10 litre milk. His son takes 15 litre of the milk and adds 5 litre water in it. Find out the amount of water in litres in this milk?
- 12.5
- 11
- 11.5
- 12
Explanation
Initially, the milkman has 10 liters of milk and adds 10 liters of water, making the total solution 20 liters (10 milk + 10 water).
The ratio of milk to water is 1:1, so the concentration of milk is 50% (10 liters milk / 20 liters total).
The son takes 15 liters of this solution, which contains 50% milk, so he takes 7.5 liters of milk (15 liters x 0.5) and 7.5 liters of water.
The son then adds 5 liters of water to the 15 liters he took, making the total solution 20 liters again (7.5 milk + 7.5 water + 5 water).
Now, the total water in the solution is 7.5 liters (initial water) + 5 liters (added water) = 12.5 liters.
So, the amount of water in the milk is 12.5 liters.
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