Multiple choice

Mixture of milk and water has been kept in two separate containers. Ratio of milk to water in one of the containers is 5 : 1 and that in the other container is 7 : 2. In what ratio should the mixtures of these two containers be added together so that the quantity of milk in the new mixture may become 80%?

  1. 3 : 2

  2. 2 : 3

  3. 4 : 5

  4. None of these

  5. 3 : 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Milk fractions: 5/6 and 7/9. Target: 4/5. Using alligation: |7/9 - 4/5| : |4/5 - 5/6| = |35-36/45| : |24-25/30| = 1/45 : 1/30 = 30:45 = 2:3.

AI explanation

Using the method of alligation, compare the concentrations of milk in the two containers. The first mixture has a milk concentration of 5/6, the second has a concentration of 7/9, and the desired mixture requires a concentration of 4/5. The ratio of their quantities is (4/5 - 7/9) : (5/6 - 4/5), which simplifies to 1/45 : 1/30. Multiplying by 90 gives the final mixing ratio of 2 : 3.

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