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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:

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1. 

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:

[A]. 4%
[B]. 61-div-1by4%
[C]. 20%
[D]. 25%

Answer: Option C

Explanation:

 

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. 1-sym-oparen-h1 100 x 1 1-sym-cparen-h1 = 4
125 5

By the rule of alligation, we have:

C.P. of 1 litre of milkC.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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