Multiple choice

120 L of a solution contains milk and water in the ratio 2 : 3. The volume of the solution is increased by 25% by adding water to it. From the resultant mixture, 30 L are drawn out and replaced by 30 L of milk. Find the ratio of milk to water in the final solution?

  1. 57 : 125

  2. 68 : 125

  3. 57 : 68

  4. 68 : 90

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: 120L, 2:3 ratio -> 48L milk, 72L water. Increase volume by 25% (30L) by adding water: 48L milk, 102L water. Total 150L. Draw 30L: Ratio is still 48:102 (or 8:17). 30L contains (8/25)*30 = 9.6L milk and 20.4L water. Remaining: 38.4L milk, 81.6L water. Add 30L milk: 68.4L milk, 81.6L water. Ratio 68.4/81.6 = 684/816 = 57/68.