Multiple choice

Pramod mixes milk and water in the ratio 9 : 4. And after taking out 13 liters of mixture and adding 16 liters of water, the ratio of milk to water becomes 5:4. How many liters of the mixture was used by Pramod initially?

  1. 78

  2. 65

  3. 80

  4. 52
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let initial mixture be 13x liters (9x milk, 4x water). Removing 13L maintains ratio, so remaining: 9x-9 milk, 4x-4 water. After adding 16L water: milk = 9x-9, water = 4x+12. Given (9x-9)/(4x+12) = 5/4. Cross-multiply: 4(9x-9) = 5(4x+12), so 36x-36 = 20x+60, giving 16x = 96 and x = 6. Initial mixture = 13x = 78 liters.

Keep practicing — related questions