Question : A milkman mixes water with milk and sells the mixture at the cost price of pure milk. The volume of water in litres to be mixed with each litre of milk to get a 25% profit is:
Option 1: $\frac{1}{4}$ litre
Option 2: $\frac{1}{5}$ litre
Option 3: $1\frac{1}{4}$ litre
Option 4: Cannot be calculated without knowing the cost price of milk.
Correct Answer: $\frac{1}{5}$ litre
Solution :
Let the cost price (CP) of 1 litre of milk be Re. 1.
So, the selling price (SP) of 1 litre of the mixture is Re. 1.
To get a 25% profit, the CP of 1 litre of the mixture = $\frac{100}{125}$ × 1 = Rs. $\frac{4}{5}$
Now, in Rs. $\frac{4}{5}$ we get $\frac{4}{5}$ litre of milk.
So, the required amount of water to be mixed = (1 – $\frac{4}{5}$) = $\frac{1}{5}$ litre
Hence, the correct answer is $\frac{1}{5}$ litre.
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