CAT 2020 Slot 1 QA Q23 Percentages & Profit-Loss

Question 23 of the Quantitative Ability (QA) section, CAT 2020 Slot 1, with CAT's official answer and a worked solution.

In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to
  1. A
    59
  2. B
    62
  3. C
    66
  4. D
    55

Answer: (C) 66 Percentages & Profit-Loss MCQ

Solution

  1. Take 100 people: 28 young, 72 old; 65 literate, of whom 25% (16.25) are young and 48.75 old.
  2. Illiterates = 35, old illiterates \(= 72-48.75 = 23.25\).
  3. Percentage \(= \frac{23.25}{35}\approx66.4\%\), nearest 66.

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