Multiple choice

We have three solutions of milk A, B and C. Solutions A, B and C contain milk and water in the ratios of 1 : 3, 2 : 3 and 3 : 2, respectively. If we mix them in the ratio 1 : 2 : 3, respectively, then what is the ratio of milk and water in the new solution?

  1. 19 : 20

  2. 19 : 21

  3. 5 : 13

  4. 19 : 5

  5. 1 : 2
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B Correct answer
Explanation

Difference between CI and SI for 2 years = P * (r/100)^2. 100 = P * (5/100)^2 = P * (1/20)^2 = P / 400. P = 100 * 400 = 40000.

AI explanation

Using a common multiple for the ratio volumes, we can assume we mix 60 litres of A, 120 litres of B, and 180 litres of C. The milk quantities are 15 litres (1/4 of 60), 48 litres (2/5 of 120), and 108 litres (3/5 of 180), adding up to a total of 171 litres of milk. The total mixture is 360 litres, so the water is 360 - 171 = 189 litres, making the ratio of milk to water 171 : 189. Dividing both sides by 9 simplifies this ratio to 19 : 21. The required ratio is 19 : 21.

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