In a factory one out of every 9 is 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 find the total number of workers in the factory, we can follow these steps:

### Step 1: Understand the ratio of female workers to total workers.
The problem states that 1 out of every 9 workers is female. This means the ratio of female workers to total workers is 1:9.

### Step 2: Set up the relationship using the ratio.
Let the number of female workers be represented as \( F \) and the total number of workers as \( T \). According to the ratio, we can express this as:
\[ \frac{F}{T} = \frac{1}{9} \]

### Step 3: Substitute the known value.
We know that the number of female workers \( F \) is 125. Therefore, we can substitute this value into the equation:
\[ \frac{125}{T} = \frac{1}{9} \]

### Step 4: Cross-multiply to find the total number of workers.
Cross-multiplying gives us:
\[ 125 \cdot 9 = 1 \cdot T \]
This simplifies to:
\[ T = 125 \cdot 9 \]

### Step 5: Calculate the total number of workers.
Now we can perform the multiplication:
\[ T = 125 \cdot 9 = 1125 \]

### Conclusion:
The total number of workers in the factory is \( 1125 \).

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