1. **Problem:** Calculate the overtime pay for an employee who worked beyond 8 hours on both a regular holiday and on their rest day.
2. **Formula and Rules:**
- Regular holiday overtime pay rate is typically 200% of the daily rate plus 30% for overtime.
- Rest day overtime pay rate is typically 130% of the daily rate plus 30% for overtime.
- Total pay for overtime on a regular holiday that is also a rest day combines these multipliers.
3. **Step-by-step Calculation:**
1. Let the daily rate be $D$.
2. Regular holiday pay for 8 hours: $$D \times 2 = 2D$$
3. Overtime pay rate on a regular holiday: $$2D \times 1.3 = 2.6D$$
4. Rest day pay for 8 hours: $$D \times 1.3 = 1.3D$$
5. Overtime pay rate on rest day: $$1.3D \times 1.3 = 1.69D$$
6. Since the day is both a regular holiday and rest day, the correct multiplier is the product of both overtime multipliers: $$2 \times 1.3 \times 1.3 = 3.38$$
7. Overtime pay per hour beyond 8 hours: $$D \times 3.38$$
4. **Explanation:**
- The employee is entitled to a higher pay rate because the day is both a regular holiday and a rest day.
- Overtime pay is calculated by multiplying the daily rate by the combined multiplier.
- This ensures compliance with labor laws and fair compensation.
**Final answer:**
The overtime pay rate per hour beyond 8 hours on a regular holiday that is also a rest day is $$3.38 \times D$$ where $D$ is the daily rate.
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