In the New York Stock Exchange there are `45%` female employees and thus the number of male employees is exceeded by 72.Hence the total no. of employees in the New stock Exchange is :

Options

A. 540
B. 720
C. 7200
D. 550

Answer

To solve the problem, let's denote the total number of employees in the New York Stock Exchange as \( x \).

1. **Determine the percentage of female employees**:
Given that 45% of the employees are female, the number of female employees can be expressed as:
\[ \text{Number of female employees} = 0.45x \]

2. **Calculate the number of male employees**:
Since the total number of employees is \( x \), the number of male employees can be calculated as:
\[ \text{Number of male employees} = x - \text{Number of female employees} = x - 0.45x = 0.55x \]

3. **Set up the equation based on the information given**:
According to the problem, the number of male employees exceeds the number of female employees by 72. Therefore, we can set up the following equation:
\[ 0.55x = 0.45x + 72 \]

4. **Solve the equation**:
To solve for \( x \), we first simplify the equation:
\[ 0.55x - 0.45x = 72 \]
\[ 0.10x = 72 \]
Now, divide both sides by 0.10:
\[ x = \frac{72}{0.10} = 720 \]

5. **Conclusion**:
The total number of employees in the New York Stock Exchange is \( 720 \).