Multiple choice

In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth Rs. 8 per litre?

  1. 1 : 2

  2. 2 : 1

  3. 2 : 3

  4. 2 : 5
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A Correct answer
Explanation

Using the alligation rule: Price of milk = 12, Price of water = 0, Mean price = 8. The ratio of water to milk is (12 - 8) : (8 - 0) = 4 : 8 = 1 : 2.

AI explanation

Using the rule of alligation, we write the cost of pure water as 0 and the cost of pure milk as 12, with the desired mean price of 8 in the middle. The ratio of water to milk is calculated as (12 minus 8) to (8 minus 0). This gives the ratio 4 to 8. Simplifying this yields the required mixing ratio of 1 to 2.

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