Question 23.

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

A
B
C
D
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Text Explanation

Let the total number of people in the group be $x$.

Number of literates = $0.65x$.

So, number of illiterates = $0.35x$.

Out of the literates, $25\%$ are young. Hence, $75\%$ of the literates are old.

Number of old literates = $0.75 \times 0.65x = 0.4875x$.

Total percentage of old people in the group is $72\%$.

Total number of old people = $0.72x$.

Number of old illiterates = $0.72x - 0.4875x = 0.2325x$.

Percentage of old people among illiterates = $\frac{0.2325x}{0.35x} \times 100 \approx 66\%$.

Hence, Option D is the correct answer.

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