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The average salary of male employees in a firm was Rs. 6000 and that of females was Rs. 5600. The mean salary of all the employees was Rs. 5800. What is the % of female employees?
  • a)
    60%
  • b)
    50%
  • c)
    70%
  • d)
    20%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
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 (x1, x2, x3,…….xm)
Salaries of females employees be (y1, y2, y3,………yn)
Given,
Average salary of males = Rs.6000
⟹ m/n = 1
⟹ m = n  ----(iii)
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Most Upvoted Answer
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).
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The average salary of male employees in a firm was Rs. 6000 and that of females was Rs. 5600. The mean salary of all the employees was Rs. 5800. What is the % of female employees?a)60%b)50%c)70%d)20%Correct answer is option 'B'. Can you explain this answer?
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