Multiple choice

In a container, water and milk are in the ratio 1 : 2. In the second container milk and water are in the ratio 3 : 2. If these two mixtures be mixed to form a new mixture in which ratio of water and milk is 5 : 8. Then in which ratio given two mixtures be mixed.

  1. 3 : 10

  2. 3 : 7

  3. 10 : 3

  4. 7 : 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Container 1: water fraction = 1/3. Container 2: water fraction = 2/5 (milk:water = 3:2). Target: water fraction = 5/13. Using allegation: (2/5 - 5/13) : (5/13 - 1/3) = (1/65) : (2/39) = 3 : 10. So Container 1 : Container 2 = 3 : 10, meaning second : first = 10 : 3.

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