Question

Average salary of 20 workers in an office is 1900 per month, if manager's
salary is added the average becomes 2000 per month. Find the manager's
salary?​

Answer 1

Step-by-step explanation:

Given:-

Average salary of 20 workers in an office is 1900 per month, if manager's salary is added the average becomes 2000 per month.

To find:-

Find the manager's salary per month ?

Solution:-

Given that

Average salary of 20 workers per month = Rs. 1900

Number of workers = 20

We know that

Average = Sum of all observations/Number of all observations

=>1900 = Sum of the salaries of all workers/20

=>Sum of the salaries of all workers per month =1900×20

Sum of the salaries of all workersbper month = Rs. 38000

If manager is added then

Number of persons=20+1 = 21

Average salary becomes = Rs. 2000

So,

Average = Sum of all observations/Number of all observations

2000 =Sum of the salaries of all persons/21

=>Sum of the salaries of all persons per month = 2000×21

Sum of the salaries of all persons per month= Rs. 42000

Manager's salary = Sum of the salaries of 21 people - Sum of the salaries of 20 workers

=>Manager's salary per month = 42000-38000

Manager's salary per month = Rs. 4000

Answer:-

The Salary of the manager per month = Rs. 4000

Used formula:-

• Average = Sum of all observations/Number of all observations