Multiple choice

Pure milk costs 16 per liter. After adding water the milkman Selis the mixture 15 per liter and thereby makes a profit of 25%. In what respective ratio does he mix 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 25% profit at a selling price of 15 means the mixture costs 15/1.25 = 12 per liter. 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 gives a cost price of 12 per liter. Using the rule of alligation with the pure milk cost of 16 and water cost of 0 against the mean price of 12, the ratio of milk to water is (12 - 0) : (16 - 12). This gives a ratio of 12 : 4, which simplifies to 3 : 1.

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