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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

Updated On: Jan 15, 2026
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The Correct Option is C

Solution and Explanation

The following steps are required to solve this problem:

Step 1: Age Distribution

28% of the members are young. The percentage of old members is: \[ 100\% - 28\% = 72\% \]

Step 2: Literacy Status

65% are literates. Therefore, the percentage of illiterates is: \[ 100\% - 65\% = 35\% \]

Step 3: Young Literates Calculation

25% of the literates are young: \[ 25\% \times 65\% = 16.25\% \]

Step 4: Old Literates Calculation

The percentage of old literates is: \[ 65\% - 16.25\% = 48.75\% \]

Step 5: Young Illiterates Calculation

Given that the total percentage of young members is 28%, the percentage of young illiterates is: \[ 28\% - 16.25\% = 11.75\% \]

Step 6: Old Illiterates Calculation

The percentage of old illiterates is: \[ 35\% - 11.75\% = 23.25\% \]

Step 7: Final Percentage Calculation

The percentage of old people among the illiterates is calculated as: \[ \frac{23.25}{35} \times 100 \approx 66.43\% \]

Final Answer:

Approximately 66% of the old people are among the illiterates.

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