Understanding the Average Monthly Salary Calculation for 11 Workers

Introduction

It's common to encounter situations in business and industry where the average monthly salary of a group of workers is given, and a new member is added to the team. This article will guide you through a step-by-step calculation process to determine the new average monthly salary for 11 workers, given that the average for 10 workers was Rs. 1445 and a new member with a salary of Rs. 1500 has joined the group.

The Initial Condition

For a group of 10 workers, the average monthly salary is Rs. 1445. This means that if we denote the salaries of the 10 workers as X1, X2, X3, ..., X10, their total salary can be calculated as:

(X1 X2 X3 ... X10) / 10 1445

Multiplying both sides by 10 gives:

X1 X2 X3 ... X10 14450

Adding a New Worker

Now, a new worker has joined the group with a salary of Rs. 1500. This means the new total salary for 11 workers is:

14450 1500 15950

Thus, the new average monthly salary for the 11 workers is:

15950 / 11 ≈ 1450

Alternative Method

Another way to understand this is to consider that the salary of the new worker, Rs. 1500, exceeds the average salary by Rs. 1500 - 1445 55. This extra amount (55) needs to be distributed among the 11 workers to find the new average salary. So, the rise in the average salary due to the new worker is:

55 / 11 5

Adding this to the original average salary of 1445 gives:

1445 5 1450

Conclusion

In summary, the average monthly salary of the 11 workers is Rs. 1450. This calculation demonstrates how the addition of a new worker with a slightly higher salary affects the average salary of the group. The method we used here can be applied to any similar situation where the average salary and a new member's salary are known.