The average salary of male employees in a firm was Rs. 6000 and that o...
Let, the number of males be ‘m’ and number of females be ‘n’
Salaries of male employees be (x
1, x
2, x
3,…….x
m)
Salaries of females employees be (y
1, y
2, y
3,………y
n)
Given,
Average salary of males = Rs.6000
⟹ m/n = 1
⟹ m = n ----(iii)
View all questions of this test
The average salary of male employees in a firm was Rs. 6000 and that o...
Given data:
- Average salary of male employees = Rs. 6000
- Average salary of female employees = Rs. 5600
- Mean salary of all employees = Rs. 5800
To find: % of female employees
Let the number of male employees be M and the number of female employees be F.
Then, we can write two equations based on the given data:
M * 6000 + F * 5600 = (M + F) * 5800 ... (1) [total salary = mean salary * total number of employees]
M + F = Total number of employees ... (2) [total number of employees = sum of male and female employees]
Now, we need to solve these two equations to find the value of F.
From equation (2), we can write:
M = Total number of employees - F
Substituting this in equation (1), we get:
(Total number of employees - F) * 6000 + F * 5600 = Total number of employees * 5800
Simplifying this equation, we get:
F = Total number of employees * (5800 - 6000) / (5600 - 6000)
F = Total number of employees * (-200) / 400
F = Total number of employees * (-1/2)
Now, we can see that the % of female employees is:
% of female employees = (F / Total number of employees) * 100
% of female employees = (-1/2) * 100
% of female employees = -50
However, we cannot have a negative percentage, so we need to take the absolute value:
% of female employees = |-50| = 50
Therefore, the % of female employees is 50%, which is option (b).