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?
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?
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.