The average monthly salary of all the employees in an industry is Rs. 12000. The average salary of male employees is Rs. 15000 an that of female employees is Rs. 8000. What is the ratio of male employees to female employees?
Question
The average monthly salary of all the employees in an industry is Rs. 12000. The average salary of male employees is Rs. 15000 an that of female employees is Rs. 8000. What is the ratio of male employees to female employees?
Solution
To solve this problem, we need to use the concept of weighted averages.
Let's denote: M = number of male employees F = number of female employees
We know that the average salary of all employees is Rs. 12000. This can be calculated by summing up all the salaries and dividing by the total number of employees (M + F). So, we have:
15000M + 8000F = 12000(M + F) ----(equation 1)
We need to find the ratio of male to female employees, i.e., M/F. Let's express M in terms of F from equation 1:
15000M = 12000M + 12000F - 8000F 3000M = 4000F M/F = 4000/3000 = 4/3
So, the ratio of male employees to female employees is 4:3.
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