A dishonest milkman professes to sell his milk at cost price but he mixes it wit

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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:

Options:

A . 4%

B . 6

%

C . 20%

D . 25%

Answer: Option C

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.

100
x 1

=
4
125
5

By the rule of alligation, we have:

C.P. of 1 litre of milk
C.P. of 1 litre of water
Re. 1
Mean Price
Re.
4
5
0
4
5
1
5

Ratio of milk to water =
4
:
1
= 4 : 1.
5
5

Hence, percentage of water in the mixture =

1
x 100
%
= 20%.
5

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