Multiple choice

Pure milk costs 16 per litre. After adding water themilkman selis the mixture 15 per litre and therebymakes a profit of 25%. In what respective ratio does hemix milk with water?

  1. 3:2

  2. 4:1

  3. 3:1

  4. 5:1

  5. 5:3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A selling price of 15 with a 25% profit means the mixture costs 15/1.25 = 12 per litre. Using 16m/(m + w) = 12 gives m:w = 3:1.

AI explanation

First, find the cost price of the mixture by dividing the selling price of 15 by 1.25, which yields a cost price of 12 per litre. Using the rule of alligation with the cost of pure milk at 16 and the cost of water at 0 against the mean price of 12, the ratio of milk to water is (12 minus 0) to (16 minus 12). This gives a ratio of 12 to 4, which simplifies to 3 to 1.

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