Question

40% employees of a company are men and 75% of the men earn more than Rs. 25,000 per year. If 45% of the company's employees earn more than Rs. 25,000 per year, what fraction of the women employed by the company earn Rs. 25,000 or less per year?
1. 2/11
2. 1/4
3. 1/3
4. 3/4

Answer 1

Correct Answer - Option 4 : 3/4

Given:

40% of employees of a company are men

75% of the men's employee earn more than Rs. 25,000

45% of company's employees earn more than Rs. 25,000

Calculation:

Let the total employee be 100,

40% of employee are men.

⇒ 40% of 100 = 40/100 × 100 = 40

Remaining employee are women

⇒ 100 – 40 = 60 are female employee.

75% of men earn more than Rs. 25,000

⇒ 75/100 × 40 = 3/4 × 40

⇒ 30 men earn more than Rs. 25,000

45% of company's employees earn more than Rs. 25,000

⇒ 45/100 × 100

⇒ 45 employees earn more than Rs. 25,000

Total female employee who earn earn more than Rs. 25,000,

⇒ 45 – 30 = 15

Female employee who do not earn more than Rs. 25,000,

⇒ 60 – 15 = 45 women do not earn more than Rs. 25,000 

Out of 60 female employee, 45 women do not earn more than Rs. 25,000,

⇒ 45/60 = 3/4

∴ The fraction of women employee is 3/4.