In a factory one out of every 9 is a female worker. If the number of female workers is 125, the total number of workers is

Options

A. 1250
B. 1125
C. 1025
D. 1000

Answer

To solve the problem step by step, we need to determine the total number of workers in the factory given that one out of every nine workers is a female worker and that there are 125 female workers.

### Step-by-Step Solution:

1. **Understanding the Ratio**:
In the factory, the ratio of female workers to total workers is 1:9. This means for every 9 workers, 1 is female and 8 are male.

2. **Setting Up the Equation**:
Let the total number of workers be represented as \( T \). According to the ratio, the number of female workers can be expressed as:
\[ \text{Number of Female Workers} = \frac{T}{9} \]

3. **Using the Given Information**:
We know from the problem that the number of female workers is 125. Therefore, we can set up the equation:
\[ \frac{T}{9} = 125 \]

4. **Solving for Total Workers**:
To find \( T \), we multiply both sides of the equation by 9:
\[ T = 125 \times 9 \]

5. **Calculating the Total**:
Now we perform the multiplication:
\[ T = 1125 \]

6. **Conclusion**:
The total number of workers in the factory is 1125.

### Final Answer:
The total number of workers is **1125**.