Question

The avarage monthly salary of m male employees and f female employees of a company is 2000 if the avarage monthly salary of the male employees is (b+200) find the avarage monthly salary of the female employees

Answer 1

Answer:

$Average = \frac{2000(m+f) - (b + 200)m}{f}$

Step-by-step explanation:

Given

Number of male = m

Number of female = f

Average salary = 2000

Average Salary of male = b + 200

Required

Average salary of female

Average is calculated as follows;

$Average = \frac{Total\ Salary}{Staffs}$

For the whole company;

The formula becomes

$2000 = \frac{Total\ Salary}{m + f}$

Multiply both sides by m + f

$2000(m+f) = Total\ Salary$

The total salary is the sum of the male salary and female salary;

In other words;

Total Salary = Male Salary + Female Salary;

The above expression becomes

$2000(m+f) = Male\ Salary + Female\ Salary$ --------- equation 1

For the male staffs;

$Average = \frac{Male\ Salary}{Male\ Staffs}$

$b + 200 = \frac{Male\ Salary}{m}$

Multiply both sides by m

$(b+200)m = Male\ Salary$

Substitute (b + 200)m for Male Salary in equation 1

$2000(m+f) = Male\ Salary + Female\ Salary$

$2000(m+f) = (b + 200)m + Female\ Salary$

Subtract both sides by (b + 200)m

$2000(m+f) - (b + 200)m = (b + 200)m -(b + 200)m + Female\ Salary$

$2000(m+f) - (b + 200)m = Female\ Salary$

At this point, the average monthly salary of female staffs can be calculated;

$Average = \frac{Female\ Salary}{Female\ Staffs}$

$Average = \frac{2000(m+f) - (b + 200)m}{f}$