The monthly average salary paid to all the employees of a company was ₹5000. The monthly average salary paid to male and female employees was  ₹5200 and  ₹4200 respectively. Then the percentage of males employed in the company is:

The correct option is 80%.

Step-by-step Derivation:

Let the number of male employees in the company be _m and the number of female employees be _f. Therefore, the total number of employees is (_m + _f).

We are given the following information:
1. The average salary of all employees is ₹5000.
2. The average salary of male employees is ₹5200.
3. The average salary of female employees is ₹4200.

Using the formula for the average, we can find the total salary paid to all groups:
• Total salary of males = 5200 × _m
• Total salary of females = 4200 × _f
• Total salary of all employees = 5000 × (_m + _f)

Since the total salary of all employees is the sum of the salaries of male and female employees, we can write the equation:
5200_m + 4200_f = 5000(_m + _f)

Now, let's simplify this equation to find the ratio between _m and _f:
5200_m + 4200_f = 5000_m + 5000_f
5200_m - 5000_m = 5000_f - 4200_f
200_m = 800_f

Dividing both sides by 200:
_m = 4_f

This tells us that the number of males is 4 times the number of females. Now, we want to find the percentage of male employees in the company. The percentage of males is given by:

$$\text{Percentage of males}=\left(\frac{m_{}}{m_{}+f_{}}\right)\times 100$$

Substitute _m = 4_f into the expression:

$$\text{Percentage of males}=\left(\frac{4f}{4f+f}\right)\times 100$$

$$\text{Percentage of males}=\left(\frac{4f}{5f}\right)\times 100$$

$$\text{Percentage of males}=\frac{4}{5}\times 100=80\%$$

Thus, the percentage of males employed in the company is 80%.