Multiple choice

In a solution water is 12.5\%. From this solution 50 litre is taken out and replaced with 30 litre water hence new percentage of water in solution becomes 20\%. Find the quantity of solution initially?

  1. 240 litre

  2. 175 litre

  3. 360 litre

  4. 300 litre

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let initial quantity be Q. Milk = 87.5% of Q. After removing 50L and adding 30L water, new quantity = Q - 20L. Milk remains 0.875Q - 43.75L. This equals 80% of (Q - 20L). So 0.875Q - 43.75 = 0.8Q - 16, giving 0.075Q = 27.75, so Q = 370L. Since 370L is not among options A-D, the answer is E (None of these).

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