Multiple choice

Vessels A and B contain mixtures of milk and water in the ratio 4 : 5 and 5 : 1 respectively. In what ratio should the quantities of mixture be taken from vessels A and B to form a mixture in which the ratio of milk to water is 5 : 4?

  1. 2 : 5

  2. 4 : 3

  3. 5 : 2

  4. 6 : 3

  5. 8 : 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Use alligation on milk fractions. Vessel A: 4/9. Vessel B: 5/6. Target: 5/9. |5/6 - 5/9| = |15/18 - 10/18| = 5/18. |4/9 - 5/9| = 1/9 = 2/18. Ratio = (5/18) / (2/18) = 5:2.

AI explanation

Using the rule of alligation on the milk fractions, Vessel A has a milk concentration of 4/9, Vessel B has a concentration of 5/6, and the target mixture has a concentration of 5/9. The ratio of quantities is (5/6 - 5/9) : (5/9 - 4/9). Calculating the differences gives the ratio 5/18 : 1/9, which simplifies to 5 : 2.

Keep practicing — related questions