In a factory, there arc 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 woman ?

Options

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

Explanation

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

### Step 1: Calculate the total salary of men
The average salary of men is given as Rs 4050, and there are 30 men employees.

\[ \text{Total Salary of Men} = \text{Number of Men} \times \text{Average Salary of Men} \]
\[ \text{Total Salary of Men} = 30 \times 4050 = 121500 \]

### Step 2: Calculate the total salary of all employees
The average salary of all employees (men and women) is Rs 3550, and the total number of employees is 30 men + 20 women = 50 employees.

\[ \text{Total Salary of All Employees} = \text{Total Number of Employees} \times \text{Average Salary of All Employees} \]
\[ \text{Total Salary of All Employees} = 50 \times 3550 = 177500 \]

### Step 3: Calculate the total salary of women
To find the total salary of women, we subtract the total salary of men from the total salary of all employees.

\[ \text{Total Salary of Women} = \text{Total Salary of All Employees} - \text{Total Salary of Men} \]
\[ \text{Total Salary of Women} = 177500 - 121500 = 56000 \]

### Step 4: Calculate the average salary of women
Now, we can find the average salary of women by dividing the total salary of women by the number of women employees.

\[ \text{Average Salary of Women} = \frac{\text{Total Salary of Women}}{\text{Number of Women}} \]
\[ \text{Average Salary of Women} = \frac{56000}{20} = 2800 \]

### Final Answer
The average salary of women employees is Rs 2800.

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