Multiple choice

If two equal vessels in which the ratio of milk and water mixture is 7: 4 and 6: 5, both the mixtures are kept in a new vessel, then find the percentage of milk in the new vessel?

  1. $59.09 %$
  2. $64.09 %$
  3. $53.09 %$
  4. $49.09 %$
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A Correct answer
Explanation

Vessel 1: Milk:Water = 7:4 (total parts = 11). Vessel 2: Milk:Water = 6:5 (total parts = 11). Since vessels are equal, total mixture = 2 × 11 = 22 parts. Total milk = 7 + 6 = 13 parts. Percentage of milk = (13/22) × 100 = 59.09%.