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Forty per cent of the employees of a certain company are men, and 75% of the men earn more than Rs. 425,000 per year. If 45% of the company’s employees earn more than Rs. 425,000 per year, what fraction of the women employed by the company earn Rs. 425,000 or less per year?
  • a)
    2/11
  • b)
    1/4
  • c)
    1/3
  • d)
    3/4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Forty per cent of the employees of a certain company are men, and 75% ...
Given Information:
- 40% of employees are men
- 75% of men earn more than Rs. 425,000 per year
- 45% of all employees earn more than Rs. 425,000 per year

Calculating the Number of Men and Women:
- Let the total number of employees be 100.
- Number of men = 40% of 100 = 40
- Number of women = 100 - 40 = 60

Calculating the Number of Men Earning more than Rs. 425,000:
- Number of men earning more than Rs. 425,000 = 75% of 40 = 0.75 * 40 = 30

Calculating the Number of Employees Earning more than Rs. 425,000:
- 45% of 100 employees earn more than Rs. 425,000 = 45

Calculating the Number of Women Earning more than Rs. 425,000:
- Number of women earning more than Rs. 425,000 = Total number of employees earning more than Rs. 425,000 - Number of men earning more than Rs. 425,000
- Number of women earning more than Rs. 425,000 = 45 - 30 = 15

Fraction of Women Earning Rs. 425,000 or Less:
- Fraction of women earning Rs. 425,000 or less = Number of women earning Rs. 425,000 or less / Total number of women
- Fraction of women earning Rs. 425,000 or less = 45 / 60 = 3/4
Therefore, the fraction of the women employed by the company who earn Rs. 425,000 or less per year is 3/4.
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Community Answer
Forty per cent of the employees of a certain company are men, and 75% ...
Let the total number of employees in the company be x.
Then the number of men and women will be 0.4x and 0.6x respectively.
75% of men earn more than Rs. 425,000.
Number of men earning more than Rs. 425,000 = 0.75 x 0.4x = 0.30x
Total number of employees earning more than Rs. 425,000 = 45% of x = 0.45x
So, Number of women earning more than Rs. 425,000 = Total employees earning more than Rs. 425,000
Total number of men earning more than Rs. 425,000 = 0.45x - 0.30x = 0.15x
Number of the women earning Rs. 425,000 or less = Total number of women employees - Number of women employee earning more than Rs. 425,000 = 0.60x - 0.15x = 0.45x
Fraction of the women employed by the company who earn Rs. 425,000 or less = (0.45x/0.60x)
= 45/60
= 3/4
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Forty per cent of the employees of a certain company are men, and 75% of the men earn more than Rs. 425,000 per year. If 45% of the company’s employees earn more than Rs. 425,000 per year, what fraction of the women employed by the company earn Rs. 425,000 or less per year?a)2/11b)1/4c)1/3d)3/4Correct answer is option 'D'. Can you explain this answer?
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Forty per cent of the employees of a certain company are men, and 75% of the men earn more than Rs. 425,000 per year. If 45% of the company’s employees earn more than Rs. 425,000 per year, what fraction of the women employed by the company earn Rs. 425,000 or less per year?a)2/11b)1/4c)1/3d)3/4Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Forty per cent of the employees of a certain company are men, and 75% of the men earn more than Rs. 425,000 per year. If 45% of the company’s employees earn more than Rs. 425,000 per year, what fraction of the women employed by the company earn Rs. 425,000 or less per year?a)2/11b)1/4c)1/3d)3/4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Forty per cent of the employees of a certain company are men, and 75% of the men earn more than Rs. 425,000 per year. If 45% of the company’s employees earn more than Rs. 425,000 per year, what fraction of the women employed by the company earn Rs. 425,000 or less per year?a)2/11b)1/4c)1/3d)3/4Correct answer is option 'D'. Can you explain this answer?.
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