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60% population of a town is literate. The ratio of literate males to literate females is 5 : 3. The ratio of illiterate males to illiterate females is 5 : 3. In the village, the number of literate females is what percent of the illiterate males?
  • a)
    90
  • b)
    100
  • c)
    112.50
  • d)
    166.67
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
60% population of a town is literate. The ratio of literate males to l...



Hence, option A is correct.
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60% population of a town is literate. The ratio of literate males to l...
Given Data:
- Literacy rate in the town: 60%
- Ratio of literate males to literate females: 5 : 3
- Ratio of illiterate males to illiterate females: 5 : 3

Calculating the Number of Literate Males and Females:
- Let the total population of the town be 100.
- Number of literate people = 60% of 100 = 60
- Let the number of literate males be 5x and literate females be 3x. So, 5x + 3x = 60, which gives x = 6.
- Therefore, the number of literate males = 5 * 6 = 30 and the number of literate females = 3 * 6 = 18.

Calculating the Number of Illiterate Males and Females:
- Number of illiterate people = 40% of 100 = 40
- Let the number of illiterate males be 5y and illiterate females be 3y. So, 5y + 3y = 40, which gives y = 8.
- Therefore, the number of illiterate males = 5 * 8 = 40 and the number of illiterate females = 3 * 8 = 24.

Finding the Required Percentage:
- We need to find the percentage of literate females to illiterate males.
- Percentage = (Number of literate females / Number of illiterate males) * 100
- Percentage = (18 / 40) * 100 = 45%
- Therefore, the number of literate females is 45% of the illiterate males.

Conclusion:
The number of literate females is 45% of the illiterate males. So, the correct answer is option 'A' (90%).
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60% population of a town is literate. The ratio of literate males to literate females is 5 : 3. The ratio of illiterate males to illiterate females is 5 : 3. In the village, the number of literate females is what percent of the illiterate males?a)90b)100c)112.50d)166.67Correct answer is option 'A'. Can you explain this answer?
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