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The population of a town is 3,11,250. The ratio of women to men is 43 : 40. If there are 24% literate women and 10% literate men, then the total number of literate persons in the town is
  • a)
    53,700
  • b)
    1,73,900
  • c)
    1,73,800
  • d)
    1,73,480
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The population of a town is 3,11,250. The ratio of women to men is 43 ...
Given:
- Population of the town = 3,11,250
- Ratio of women to men = 43:40
- Percentage of literate women = 24%
- Percentage of literate men = 10%

To find:
Total number of literate persons in the town

Solution:
1. Let's assume the number of women in the town as "43x" and the number of men as "40x".
2. The total population of the town is given as 3,11,250. So, we can write the equation as:
43x + 40x = 3,11,250
83x = 3,11,250
x = 3,11,250/83
x ≈ 3,750
Therefore, the number of women (43x) = 43 * 3,750 ≈ 1,61,250
And the number of men (40x) = 40 * 3,750 ≈ 1,50,000

Number of literate women:
3. The percentage of literate women is given as 24%. So, the number of literate women is:
(24/100) * 1,61,250 = 38,700

Number of literate men:
4. The percentage of literate men is given as 10%. So, the number of literate men is:
(10/100) * 1,50,000 = 15,000

Total number of literate persons:
5. The total number of literate persons in the town is the sum of the number of literate women and the number of literate men.
Total = 38,700 + 15,000
Total = 53,700

Therefore, the correct answer is option A) 53,700.
Free Test
Community Answer
The population of a town is 3,11,250. The ratio of women to men is 43 ...
Population of the town = 3,11,250
Number of women in the town = 
Number of men in the town = 
Total number of literate persons in the town
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The population of a town is 3,11,250. The ratio of women to men is 43 : 40. If there are 24% literate women and 10% literate men, then the total number of literate persons in the town isa)53,700b)1,73,900c)1,73,800d)1,73,480Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The population of a town is 3,11,250. The ratio of women to men is 43 : 40. If there are 24% literate women and 10% literate men, then the total number of literate persons in the town isa)53,700b)1,73,900c)1,73,800d)1,73,480Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of a town is 3,11,250. The ratio of women to men is 43 : 40. If there are 24% literate women and 10% literate men, then the total number of literate persons in the town isa)53,700b)1,73,900c)1,73,800d)1,73,480Correct answer is option 'A'. Can you explain this answer?.
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