CAT 1999 | Question: 63

Question

Forty per cent of the employees of a certain 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 less than or equal to Rs. 25,000 per year?

• A. $\frac{2}{11}$
• B. $\frac{1}{4}$
• C. $\frac{1}{3}$
• D. $\frac{3}{4}$

Answer 1

Men   Women
40%    60%

Out of 40% men, 75% earn more than Rs. 25,000.

Hence, 30%($\frac{40}{100}*\frac{75}{100}*100$) of the company (men) earn more than  Rs. 25,000.

 

But,in all 45% of the employees earn more than Rs.25,000.

Hence, among women 15%($\frac{60}{100}*\frac{25}{100}*100$) earn more than Rs. 25,000  

and the remaining (60 – 15)% earn less than or equal to Rs. 25,000.

 

The fraction of women employed by the company earn less than or equal to Rs.25000 per year = $\frac{45}{60}=\frac{3}{4}$

 

Hence, Option (D) $\frac{3}{4}$ is the correct choice.