Multiple choice

A vessel contains some litres of pure milk. If 25 litres of water is added to the vessel, then the ratio between milk and water becomes 12:5. 17 litres of the mixture is drawn from the vessel and 10 litres of water is added to the mixture. Find the new ratio between milk and water.

  1. $8 : 5$
  2. $5 : 8$
  3. $6 : 5$
  4. $5 : 6$
  5. $Cannot be determined$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let milk = M. Adding 25L water gives ratio 12:5, so M:25 = 12:5, meaning M = 60L. Initial mixture: 60L milk + 25L water = 85L total. Ratio is 60:25 = 12:5 ✓. Drawing 17L mixture: milk removed = 17×(12/17) = 12L, water removed = 17×(5/17) = 5L. Remaining: milk = 60-12 = 48L, water = 25-5 = 20L. Adding 10L water: milk = 48L, water = 20+10 = 30L. New ratio = 48:30 = 8:5 ✓

Keep practicing — related questions