In a factory, there are 30 men and 20 women employees If the average salary of men is Rs. 4050 and the average salary of all the employees is Rs. 3550, then what is the average salary of women?
(a)3800Rs
(b)3300Rs
(c)3000Rs
(d)2800Rs

Options

A. 3800Rs
B. 3300Rs
C. 3000Rs
D. 2800Rs

Answer

To find the average salary of women employees in the factory, we can follow these steps:

### Step 1: Calculate the total salary of men
Given:
- Number of men = 30
- Average salary of men = Rs. 4050

Total salary of men = Number of men × Average salary of men
Total salary of men = 30 × 4050 = Rs. 121500

### Step 2: Calculate the total number of employees
Total number of employees = Number of men + Number of women
Total number of employees = 30 + 20 = 50

### Step 3: Calculate the total salary of all employees
Given:
- Average salary of all employees = Rs. 3550

Total salary of all employees = Total number of employees × Average salary of all employees
Total salary of all employees = 50 × 3550 = Rs. 177500

### Step 4: Calculate the total salary of women
Total salary of women = Total salary of all employees - Total salary of men
Total salary of women = 177500 - 121500 = Rs. 56000

### Step 5: Calculate the average salary of women
Given:
- Number of women = 20

Average salary of women = Total salary of women / Number of women
Average salary of women = 56000 / 20 = Rs. 2800

### Conclusion
The average salary of women employees is Rs. 2800.

### Answer
(d) 2800 Rs.

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