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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

  • a)
    62

  • b)
    55

  • c)
    66

  • d)
    59

Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a group of people, 28% of the members are young while the rest are ...
Let ‘x’ be the strength of group G. Based on the information, 0.65x constitutes of literate people {the rest 0.35x = illiterate}
Of this 0.65x , 75% are old people =(0.75)0.65x old literates.
The total number of old people in group G is 0.72x  {72% of the total}.
Thus, the total number of old people who are illiterate = 0.72x - 0.4875x = 0.2325x.
This is 
≈ 66& of the total number of illiterates.
Hence, Option C is the correct answer.
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Most Upvoted Answer
In a group of people, 28% of the members are young while the rest are ...
To solve this problem, we need to break it down into smaller parts and calculate the required percentages step by step.

Given:
- 28% of the members are young
- The rest are old
- 65% of the members are literates
- 25% of the literates are young

Let's assume the total number of people in the group is 100.

1. Calculate the number of young people:
28% of 100 = 28

2. Calculate the number of old people:
100 - 28 = 72

3. Calculate the number of literates:
65% of 100 = 65

4. Calculate the number of literate young people:
25% of 65 = 16.25 (approximated to 16)

5. Calculate the number of literate old people:
65 - 16 = 49

6. Calculate the number of illiterates:
100 - 65 = 35

7. Calculate the number of old illiterate people:
72 - 49 = 23

Now, we need to find the percentage of old people among the illiterates.

Percentage of old illiterate people = (Number of old illiterate people / Total number of illiterates) * 100

= (23 / 35) * 100

≈ 65.71

The nearest percentage to 65.71 is 66, which corresponds to option (C).

Therefore, the percentage of old people among the illiterates is nearest to 66%.
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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 toa)62b)55c)66d)59Correct answer is option 'C'. Can you explain this answer?
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