Multiple choice

A jar contain a mixture of milk and water in the ratio 3 : 2. The volume of the contents is increased by 50% by adding water to it. From the resultant solution 30 L is withdrawn and then replaced with water. The resultant ratio of milk and water in the final solution is 3 : 7. Find the original volume of milk in the solution?

  1. 120

  2. 80

  3. 48

  4. 90

  5. 180
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let original solution be 5x (milk 3x, water 2x). After adding 50% water: 7.5x total (milk 3x, water 4.5x). Removing 30L leaves milk 3x-(12/7.5)x and water 4.5x-(18/7.5)x. Adding 30L water gives final ratio 3:7. Solving gives 3x=48L.

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