Multiple choice

A dairyman pays Rs. 6.4 per litre for milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The ratio of water to milk received by the customer is

  1. 1 : 15

  2. 1 : 10

  3. 1 : 20

  4. 1 : 12

  5. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price of milk be 6.4 and the selling price be 8. The profit is 37.5%, meaning the cost price of the mixture is 8 / 1.375 = 5.818. Using the alligation rule: (Milk cost - Mixture cost) / (Mixture cost - Water cost) = (6.4 - 5.818) / (5.818 - 0) = 0.582 / 5.818, which simplifies to 1/10.

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