# 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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