Question
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
Answer: Option C
Was this answer helpful ?
Let C.P. of 1 litre milk be Re. 1
Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.
C.P. of 1 litre mixture = Re. \(\left(\frac{100}{125}\times1\right)=\frac{4}{5}\)
By the rule of alligation, we have:
C.P. of 1 litre of milk = Rs.1
C.P. of 1 litre of water = 0
So, Ratio of milk to water = \(\frac{4}{5}:\frac{1}{5}=4:1.\)
Hence, percentage of water in the mixture = \(\left(\frac{1}{5}\times100\right)\) % = 20%
Was this answer helpful ?
Submit Solution