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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:

Solution:
Let C.P. of 1 litre milk be Rs. 1
Then, S.P. of 1 litre of mixture = Rs. 1, Gain = 25%
C.P. of 1 litre mixture = Rs. (100125×1)  = 45
By the rule of alligation, we have:
Alligation mcq solution image
∴ Ratio of milk to water = 45 : 15 = 4 : 1
Hence, percentage of water in the mixture = (15×100)  % = 20%

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