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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 illiterates and 25% of females are literates. By what percentage is the number of literate males more than that of illiterate females?

A

0.2

B

0.175

C

0.25

D

0.225

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's break it down: ### Step 1: Determine the total number of voters Assume the total number of voters in the constituency is 100 (this makes calculations easier). ### Step 2: Calculate the number of male and female voters - **Males:** 60% of 100 = 60 males - **Females:** 40% of 100 = 40 females ### Step 3: Calculate the number of illiterate males - **Illiterate males:** 40% of males = 40% of 60 = 0.4 * 60 = 24 illiterate males ### Step 4: Calculate the number of literate females - **Illiterate females:** 25% of females = 25% of 40 = 0.25 * 40 = 10 illiterate females - **Literate females:** Total females - Illiterate females = 40 - 10 = 30 literate females ### Step 5: Calculate the number of literate males - **Literate males:** Total males - Illiterate males = 60 - 24 = 36 literate males ### Step 6: Find the difference between literate males and illiterate females - Difference = Literate males - Illiterate females = 36 - 10 = 26 ### Step 7: Calculate the percentage by which the number of literate males is more than that of illiterate females - Percentage = (Difference / Illiterate females) * 100 = (26 / 10) * 100 = 260% ### Step 8: Finalize the answer The percentage by which the number of literate males is more than that of illiterate females is 260%. ### Summary of the solution: - Literate males = 36 - Illiterate females = 10 - Difference = 36 - 10 = 26 - Percentage = (26 / 10) * 100 = 260%
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