CAT 2023 Slot 3 QA Q9 Ratio, Mixtures & Averages

Question 9 of the Quantitative Ability (QA) section, CAT 2023 Slot 3, with CAT's official answer and a worked solution.

Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare mixture A, and coffee with sugar in the ratio 7 : 3 to prepare mixture B. He combines mixtures A and B in the ratio 2 : 3 to make a new mixture C. If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be
  1. A
    21
  2. B
    24
  3. C
    16
  4. D
    17

Answer: (D) 17 Ratio, Mixtures & Averages MCQ

Solution

  1. Sugar fraction: A has \(\frac25=0.4\), B has \(\frac3{10}=0.3\).
  2. C = A:B = 2:3, so sugar \(= \frac{2(0.4)+3(0.3)}{5} = \frac{1.7}{5}=0.34\).
  3. Adding an equal volume of milk halves it: 17%.

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