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In a constituency, 60% of the voters are...

In a constituency, 60% of the voters are males and the rest are females. 40% of the males are illiterate and 25% of the females are literate. By what percentage is the number of illiterate males more than that of literate females?

A

1.2

B

1.15

C

1.4

D

1.25

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the number of illiterate males and literate females in the constituency and then calculate the percentage difference between them. ### Step-by-Step Solution: 1. **Determine the total number of voters**: Let's assume the total number of voters in the constituency is \(100\) (this simplifies the calculations). 2. **Calculate the number of males and females**: - Since \(60\%\) of the voters are males: \[ \text{Number of males} = 60\% \text{ of } 100 = 60 \] - The rest are females, which is \(40\%\): \[ \text{Number of females} = 100 - 60 = 40 \] 3. **Calculate the number of illiterate males**: - \(40\%\) of the males are illiterate: \[ \text{Number of illiterate males} = 40\% \text{ of } 60 = 0.4 \times 60 = 24 \] 4. **Calculate the number of literate females**: - \(25\%\) of the females are literate: \[ \text{Number of literate females} = 25\% \text{ of } 40 = 0.25 \times 40 = 10 \] 5. **Calculate the difference between illiterate males and literate females**: - The difference is: \[ \text{Difference} = \text{Number of illiterate males} - \text{Number of literate females} = 24 - 10 = 14 \] 6. **Calculate the percentage by which the number of illiterate males is more than that of literate females**: - The percentage difference is calculated as: \[ \text{Percentage} = \left( \frac{\text{Difference}}{\text{Number of literate females}} \right) \times 100 = \left( \frac{14}{10} \right) \times 100 = 140\% \] ### Final Answer: The number of illiterate males is \(140\%\) more than that of literate females.
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