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CAT 2020 Quant Question [Slot 1] with Solution 20

Question

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. 62
  2. 55
  3. 66
  4. 59
Option: 3
Solution:

Let the number of persons in the group be 100 .

 Then the people who are young =28

Ans the number of literate persons=65

Number of literates who are young \( = 25\% \) of\(65 = 16.25\)

\(\therefore \) Required answer \( = \frac{{48.75}}{{72}} \times 100 = 66\)

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