Multiple choice

Two vessels of capacity 10 litres and 15 litres are filled with a mixture of milk and water. Vessel of capacity 10 litres contains 75% of milk 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 milk. Find the ratio of milk and water respectively in the large vessel.

  1. $17 : 11$
  2. $13 : 15$
  3. $11 : 13$
  4. $15 : 13$
  5. $11 : 17$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Vessel 1 (10L) has 75% milk = 7.5L milk, 2.5L water. Vessel 2 (15L) has 70% water = 10.5L water, 4.5L milk. Total milk = 12L, total water = 13L. The 28L vessel needs 3L more milk to fill completely, giving final ratio of 15:13 milk to water. Option A is incorrect as it reverses the ratio. Options B and C have incorrect values.

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