Question

The mean monthly salary of 40 workers of a factory is x in a particular year. each one was given 3000 as diwali bonus. what will be the mean monthly salary in that month.

Answer 1

Answer:

x + 3000

Step-by-step explanation:

Let the salary of each worker be $x_i$.

Therefore, the mean of their salaries = $\frac{x_1+x_2+x_3+...+x_{40}}{40}=x$.

$x_1+x_2+x_3+...+x_{40}=40x$

If 3000 is added to each worker's salary:

Sum of new salaries = $3000+x_1+3000+x_2+3000+x_3+......+3000+x_{40}$

$=x_1+x_2+x_3+...+x_{40}+40(3000)\\=40x+40(3000)$

Divide by 40 to get the mean:

Mean = x + 3000

Answer 2

Answer:

x + 3000

Step-by-step explanation:

Find the total sum of the 40 workers' salary:

Mean = x

Sum = 40x

Find the sum of the bonus:

one worker = 3000

Sum = 3000 x 40 = 120000

Find the total amount:

Total = 40x + 120000

Find the mean monthly salary:

Mean = (40x + 120000) / 40

Mean = 40(x + 3000)/40

Mean = x + 3000

Answer:  x + 3000