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

• A. 62
• B. 55
• C. 66
• D. 59

Answer 1

The Correct Option is C

The correct answer is (C): \(66\)

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 = \(25\% \;of\; 65 = 16.25\)

\(∴\)  Required answer = \(\frac{48.75}{72}×100 = 66\)

Answer 2

Among them, 28% are young and 72% are old. 
35% of those in the same group lack literacy, while 65% of them do.
11.75% of young people are illiterate, with young literate people making up \(\frac{1}{4}(65\%) = 16.25\%. \)
Of the 35% illiterate population, 11.75% are young, while the remaining 23.25% are elderly. 
That is, \(\frac{23.25}{35} × 100 ≅ 66.\)