Multiple choice

Ratio of water and milk in a container is 7 : 12, 38 litre of mixture taken out and replaced by 19 litre of water then ratio become 25: 32 . Then find the initial quantity of mixture .

  1. 156

  2. 133

  3. 152

  4. 190
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial quantity be 19k liters (7:12 ratio). After removing 38L (which is 2×19), water becomes 7k-14, milk becomes 12k-24. After adding 19L water: new water = 7k-14+19 = 7k+5. New ratio (7k+5)/(12k-24) = 25/32. Solving: 32(7k+5) = 25(12k-24) → 224k+160 = 300k-600 → 76k = 760 → k=10. Initial mixture = 19×10 = 190L.

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