The average salary of 50 workers in a factory was Rs.350 new workers with salaries 250,300,320,350 and 400 were employed. What would be the new average slary?

Options

A. 346.64
B. 347.64
C. 348.64
D. 349.36

Answer

To find the new average salary after employing new workers, we can follow these steps:

### Step 1: Calculate the total salary of the initial 50 workers.
The average salary of the 50 workers is Rs. 350.

To find the total salary of these workers:
\[ \text{Total Salary} = \text{Average Salary} \times \text{Number of Workers} \]
\[ \text{Total Salary} = 350 \times 50 = Rs. 17,500 \]

### Step 2: Calculate the total salary of the new workers.
The new workers have salaries of Rs. 250, 300, 320, 350, and 400.

To find the total salary of the new workers:
\[ \text{Total Salary of New Workers} = 250 + 300 + 320 + 350 + 400 \]
Calculating this:
\[ \text{Total Salary of New Workers} = 250 + 300 + 320 + 350 + 400 = Rs. 1,620 \]

### Step 3: Calculate the total salary of all workers after hiring new workers.
Now, we add the total salary of the initial workers and the new workers:
\[ \text{Total Salary of All Workers} = \text{Total Salary of Initial Workers} + \text{Total Salary of New Workers} \]
\[ \text{Total Salary of All Workers} = 17,500 + 1,620 = Rs. 19,120 \]

### Step 4: Calculate the new total number of workers.
The total number of workers after hiring new workers is:
\[ \text{Total Workers} = \text{Initial Workers} + \text{New Workers} \]
\[ \text{Total Workers} = 50 + 5 = 55 \]

### Step 5: Calculate the new average salary.
Now, we can find the new average salary:
\[ \text{New Average Salary} = \frac{\text{Total Salary of All Workers}}{\text{Total Workers}} \]
\[ \text{New Average Salary} = \frac{19,120}{55} \approx Rs. 347.64 \]

Thus, the new average salary of the workers is approximately Rs. 347.64.

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