Multiple choice

Two vessels contain milk and water mixture in the ratio (7 : 3) and (4 : 1) respectively. The ratio in which these two mixtures should be mixed to get a new mixture containing 75% milk?

  1. 1 : 1

  2. 2 : 1

  3. 3 : 2

  4. 5 : 1

  5. 1 : 4
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A Correct answer
Explanation

Use the alligation method. First mixture: milk ratio 7:3 = 7/10 = 70% milk. Second mixture: milk ratio 4:1 = 4/5 = 80% milk. Target: 75% milk. Using alligation, the differences are 80-75=5 and 75-70=5. The ratio is 5:5 = 1:1. Therefore equal quantities (1:1) of both mixtures should be combined.

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