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A dishonest milk man professes to sell milk at some cost price. But he mixes it with water and thereby gains 40%. What is the percentage of water in the mixture?

Question

A dishonest milk man professes to sell milk at some cost price. But he mixes it with water and thereby gains 40%. What is the percentage of water in the mixture?

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Solution

Let's solve this step by step:

Step 1: Assume the cost price of 1 litre milk is $1.

Step 2: As the milkman gains 40%, he actually uses only $0.60 worth of milk and sells it as 1 litre.

Step 3: This means that $0.40 worth of the mixture is water.

Step 4: To find the percentage of water in the mixture, we divide the cost of water by the cost of the mixture and multiply by 100.

So, the percentage of water in the mixture is (0.40/1)*100 = 40%.

This problem has been solved

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