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A city has a population of 300000 out of which 180000 are males. 50% of the population is literate. If 70% of the males are literate, then the percentage of a female who are literate is :
  • a)
    20 %
  • b)
    25 %
  • c)
    35 %
  • d)
    45 %
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A city has a population of 300000 out of which 180000 are males. 50% ...
Number of males = 180000
Number of females:
= (300000 - 180000)
= 120000
Number of literates:
= 50% of 300000
= 150000
Number of literate males:
= 70% of 180000
= 126000
Number of literate females:
= (150000 - 126000)
= 24000
∴ Required percentage:
= 20%
Hence, the correct option is (A).
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Most Upvoted Answer
A city has a population of 300000 out of which 180000 are males. 50% ...
Given Information:
Population of the city = 300000
Number of males = 180000
Percentage of literate people = 50%
Percentage of literate males = 70%

To find:
Percentage of literate females

Solution:
First, we need to find the number of females in the city.

Number of males = 180000
Total population = 300000

Number of females = Total population - Number of males
Number of females = 300000 - 180000
Number of females = 120000

Now, we can find the number of literate people in the city.

Number of literate people = (50/100) x 300000
Number of literate people = 150000

We can also find the number of literate males and females separately.

Number of literate males = (70/100) x 180000
Number of literate males = 126000

Number of literate females = Total number of literate people - Number of literate males
Number of literate females = 150000 - 126000
Number of literate females = 24000

Finally, we can find the percentage of literate females.

Percentage of literate females = (Number of literate females / Total number of females) x 100
Percentage of literate females = (24000 / 120000) x 100
Percentage of literate females = 20%

Therefore, the percentage of literate females in the city is 20%.
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A city has a population of 300000 out of which 180000 are males. 50% of the population is literate. If 70% of the males are literate, then the percentage of a female who are literate is :a)20 %b)25 %c)35 %d)45 %Correct answer is option 'A'. Can you explain this answer?
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