The mean monthly salary paid to all the employees of a company was Rs 10,000. The mean monthly salary paid to male and female employees was Rs 10,400 and Rs 8400 respectively. Find the percentage of males and females employed by the company. (Ans.: 80, 20

To find the percentage of males and females employed by the company, we can use the given information about the mean monthly salaries.

Let's assume that there are a total of 100 employees in the company.

According to the given information, the mean monthly salary paid to all employees is Rs 10,000. This means that the total monthly salary paid to all employees is 100 * Rs 10,000 = Rs 1,000,000.

The mean monthly salary paid to male employees is Rs 10,400. So, if we assume that there are 'm' male employees, the total monthly salary paid to male employees would be m * Rs 10,400.

Similarly, the mean monthly salary paid to female employees is Rs 8,400. So, if we assume that there are 'f' female employees, the total monthly salary paid to female employees would be f * Rs 8,400.

Since the total monthly salary paid to all employees is Rs 1,000,000, we can write the equation:

m * Rs 10,400 + f * Rs 8,400 = Rs 1,000,000

Now, we need to solve this equation to find the values of 'm' and 'f'.

From the equation, we can rearrange it as:

10,400m + 8,400f = 1,000,000

To simplify the equation, we can divide both sides by 200:

52m + 42f = 5,000

Now, we need to find the values of 'm' and 'f' that satisfy this equation.

One possible solution is m = 80 and f = 20. This means that there are 80 male employees and 20 female employees in the company.

To find the percentage of males and females, we can calculate:

Percentage of males = (Number of males / Total number of employees) * 100 = (80 / 100) * 100 = 80%

Percentage of females = (Number of females / Total number of employees) * 100 = (20 / 100) * 100 = 20%

Therefore, the percentage of males and females employed by the company is 80% and 20% respectively.