Question : In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is:
Option 1: 36%
Option 2: 60%
Option 3: 40%
Option 4: 50%
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Correct Answer: 36%
Solution :
Let the total population of the city be 100.
The number of illiterate people = 40% of 100 = 40
The number of poor people = 60% of 100 = 60
The number of rich people = (100 – 60) = 40
The number of illiterate rich people = 10% of 40 = 4
The number of illiterate poor people = 40 – 4 = 36
So, the required percentage = $\frac{\text{number of illiterate poor people}}{\text{total population}}× 100$
= $\frac{36}{100} × 100$ = 36%
Hence, the correct answer is 36%.
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