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 Rs. $25,000$ or less per year?

Answer 1

Let the total no. of employee of company is $100$

Then number of men employee in company $=100\times \frac{40}{100}=40$

So, no. of women employee $=100-40=60$

Given $75\%$ of men employee get more than Rs $25000$ which is $40\times \frac{75}{100}=30$

Given $45$ of the employees get more than Rs $25000$

Then number of women employees get more than Rs $25000$ is $45-30=15$

Then number of women employees get less than Rs $25000$ is $60-15=45$

So fraction women employees get less than Rs $25000$ is $\frac{45}{60}=\frac{3}{4}$