Multiple choice

A milkman mix 3 part of water for every 2 part of milk. A man buy some quantity of milk from him and mix with milk which he buys from other milkman in which ratio of milk and water is 3 : 7 respectively. In what ratio should he mix both quantity so that resultant mixture have ratio of water and milk is 4 : 7?

  1. 4 : 7

  2. 4 : 9

  3. 9 : 4

  4. 7 : 4

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

First milkman: 3 water: 2 milk, so milk = 2/5 = 0.4. Second: milk:water = 3:7, so milk = 3/10 = 0.3. Target: water:milk = 4:7, so milk = 7/11. Using allegation: (7/11 - 0.3) : (0.4 - 7/11) = 0.336 : 0.036 = 9.33:1 ≈ 7:4.

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