The average monthly salary of 10 employees is Rs. 3600. If the salary of the manager is added then the average salary is increased by Rs. 200. What is the monthly salary of the manager ?

Options

A. (a) Rs. 3700
B. (b) Rs. 4200
C. (c) Rs. 5800
D. (d) Rs. 6200

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the total salary of the 10 employees.
The average salary of the 10 employees is given as Rs. 3600.
To find the total salary of the 10 employees, we can use the formula:

\[ \text{Total Salary} = \text{Average Salary} \times \text{Number of Employees} \]

Substituting the values:

\[ \text{Total Salary} = 3600 \times 10 = 36000 \]

### Step 2: Determine the new average salary after adding the manager's salary.
When the manager's salary is added, the average salary increases by Rs. 200. Therefore, the new average salary becomes:

\[ \text{New Average Salary} = 3600 + 200 = 3800 \]

### Step 3: Calculate the total number of employees including the manager.
Now, the total number of employees including the manager is:

\[ \text{Total Employees} = 10 + 1 = 11 \]

### Step 4: Calculate the total salary of the 11 employees.
Using the new average salary, we can find the total salary of all 11 employees:

\[ \text{Total Salary of 11 Employees} = \text{New Average Salary} \times \text{Total Employees} \]

Substituting the values:

\[ \text{Total Salary of 11 Employees} = 3800 \times 11 = 41800 \]

### Step 5: Find the salary of the manager.
Now, we can find the salary of the manager by subtracting the total salary of the 10 employees from the total salary of the 11 employees:

\[ \text{Manager's Salary} = \text{Total Salary of 11 Employees} - \text{Total Salary of 10 Employees} \]

Substituting the values:

\[ \text{Manager's Salary} = 41800 - 36000 = 5800 \]

### Conclusion:
Thus, the monthly salary of the manager is Rs. 5800.

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