Question

The mean annual salary of all employees in a company is Rs25,000. The mean salaries of male and female employees are Rs27,000 and Rs17,000 respectively, the percentage of males and females employees by the company is _______.

A. 80,20
B. 20,80
C. 30,70
D. 70,30

Answer 1

By applying the weighted mean formula to the given means and overall mean, we calculate the percentage of male and female employees as 80% and 20%, respectively.

Step-by-step explanation:

To find the percentage of male and female employees in the company, we can use the weighted mean formula where the overall mean is a weighted average of the mean salaries for male and female employees. Let the percentage of male employees be M and the percentage of female employees be F. Since the total percentage must sum up to 100%, we have M + F = 100%. The mean salary for the company is given by the equation M * Rs27,000 + F * Rs17,000 = Rs25,000 * 100%.

Now, substituting F = 100% - M into the equation

Therefore, M equals 80% and this means F must be 20%, so the answer is (A) 80, 20.