Multiple choice

Two vessels of capacity 10 litres and 15 litres are filled with a mixture of acid and water. Vessel of capacity 10 litres contains 75% of acid while the other of capacity 15 litres contains 70% of water. The vessels are emptied into a large vessel of capacity 28 litres whose remaining part is filled with acid. Find the ratio of acid and water respectively in the large vessel.

  1. $13: 15$
  2. $17: 11$
  3. $11: 13$
  4. $15: 13$
  5. $11: 17$
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D Correct answer
Explanation

First vessel (10L, 75% acid): 7.5L acid + 2.5L water. Second vessel (15L, 70% water): 4.5L acid + 10.5L water. Combined: 12L acid + 13L water = 25L. Large vessel needs 3L more acid to reach 28L capacity. Final: 15L acid + 13L water, giving ratio 15:13.

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