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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.

Question

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.

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Solution

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.

From the given information, we can set up the following equations:

m * Rs 10,400 + f * Rs 8,400 = Rs 1,000,000 (equation 1) m + f = 100 (equation 2)

We can solve these equations to find the values of 'm' and 'f'.

From equation 2, we can express 'm' in terms of 'f' as m = 100 - f.

Substituting this value of 'm' in equation 1, we get:

(100 - f) * Rs 10,400 + f * Rs 8,400 = Rs 1,000,000

Simplifying this equation, we get:

10,400 * 100 - 10,400 * f + 8,400 * f = 1,000,000

Simplifying further, we get:

1,040,000 - 2,000 * f = 1,000,000

2,000 * f = 40,000

f = 40,000 / 2,000

f = 20

So, there are 20 female employees in the company.

Substituting this value of 'f' in equation 2, we get:

m + 20 = 100

m = 100 - 20

m = 80

So, there are 80 male employees in the company.

To find the percentage of males and females employed by the company, 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 employed by the company is 80% and the percentage of females employed by the company is 20%.

This problem has been solved

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