The monthly average salary paid to all the employees of a company was ...
Let the total number of male employees be M & that of female be F.
Total salary (males) = Rs 5200 x M
Total salary (females) = Rs 4200 x F
So, we have 5200M + 4200F = 5000 (M+F)
Solving, we get 200M = 800F
Hence, M = 4F.
Percentage of males employed = 4F/5F *100 = 80 %.
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The monthly average salary paid to all the employees of a company was ...
Given:
- Monthly average salary paid to all employees = Rs. 5000.
- Monthly average salary paid to male employees = Rs. 5200.
- Monthly average salary paid to female employees = Rs. 4200.
To find:
- Percentage of male employees in the company.
Solution:
Let the total number of employees in the company be 'N'.
Total salary paid to all employees = Monthly average salary * Number of employees
=> 5000 * N
Total salary paid to male employees = Monthly average salary for males * Number of male employees
=> 5200 * M
Total salary paid to female employees = Monthly average salary for females * Number of female employees
=> 4200 * F
From the given information, we can write:
5000 * N = 5200 * M + 4200 * F
We need to find the percentage of male employees, which can be calculated as:
Percentage of male employees = (Number of male employees / Total number of employees) * 100
We can rewrite the above equation as:
M / N = (5000 - 4200 * (F/N)) / 1000
Let's assume F/N = x. Then,
M / N = (5000 - 4200x) / 1000
M / N = 5 - 4.2x
Now, we need to find the value of x that satisfies the above equation.
From the given information, we know that the average salary paid to all employees is closer to the average salary paid to male employees. This suggests that the number of male employees is more than the number of female employees.
Let's try x = 0.2 (i.e. assume that 20% of the employees are female). Then,
M / N = 5 - 4.2 * 0.2
M / N = 4.16
This means that 41.6% of the employees are male. This is not the correct answer.
Let's try x = 0.25 (i.e. assume that 25% of the employees are female). Then,
M / N = 5 - 4.2 * 0.25
M / N = 4.05
This means that 40.5% of the employees are male. This is still not the correct answer.
Let's try x = 0.3 (i.e. assume that 30% of the employees are female). Then,
M / N = 5 - 4.2 * 0.3
M / N = 3.94
This means that 39.4% of the employees are male. This is closer to the correct answer.
We can continue this process and try different values of x until we get the closest answer to the given options.
Trying x = 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, we get:
- x = 0.2 => M/N = 4.16 (Not the correct answer)
- x = 0.25 => M/N = 4.05 (Not the correct answer)
- x = 0.3 => M/N = 3.94 (Closest
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