A milkman has 20 litres of pure milk. Find the quantity (in litres) of water to be added to it so that he gets 50% profit by selling it at its cost price.
Let cost price (CP) of 1 litre milk be x.
Total CP = 20x
Profit = 50% of 20x = 10x
So total money earned = Total CP+Profit = 20x+10x = 30x
Now, milk is sold at its CP.
So amount of milk sold = 30x/x = 30 litres
Actual amount of milk = 20 litres
So amount of water added = 30-20 = 10 litres