1. **Problem statement:** In a company, 67.5% of employees are married. 37.5% of employees are female, and 80% of female employees are married. We need to find the percentage $x$ of male employees who are married.
2. **Define variables:**
- Let total employees = 100 (for simplicity).
- Number of females = 37.5.
- Number of males = 100 - 37.5 = 62.5.
- Married females = 80% of 37.5 = $0.8 \times 37.5 = 30$.
- Let married males = $x\%$ of 62.5 = $\frac{x}{100} \times 62.5$.
3. **Use total married percentage:**
Total married employees = 67.5% of 100 = 67.5.
4. **Set up equation:**
$$\text{Married females} + \text{Married males} = \text{Total married}$$
$$30 + \frac{x}{100} \times 62.5 = 67.5$$
5. **Solve for $x$:**
$$\frac{x}{100} \times 62.5 = 67.5 - 30 = 37.5$$
$$x = \frac{37.5 \times 100}{62.5} = \frac{3750}{62.5} = 60$$
6. **Answer:** $x = 60$.
So, 60% of the male employees are married.
**Final answer:** C. 60.
Married Employees 0B6Efe
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.