Answer:
To solve this, let's break down the components of the midweek package and calculate the markdown and the markdown rate.
### Step-by-Step Solution
1. **Identify the regular price components:**
- **Accommodation:** $183 per night for two people.
- **Breakfast:** Regularly priced at $15 per person, so for two people: \( 2 \times 15 = 30 \) dollars.
- **Spa Services:** 15% discount on spa services valued at $60 per person, so for two people: \( 2 \times 60 = 120 \) dollars.
2. **Calculate the total regular price without discount:**
- Total regular price = Accommodation + Breakfast + Spa Services
- Total regular price = \( 183 + 30 + 120 = 333 \) dollars.
3. **Calculate the discount on spa services:**
- Discount on spa services = 15% of $120.
- Discount = \( 0.15 \times 120 = 18 \) dollars.
4. **Calculate the total discounted price:**
- Total discounted price = Total regular price - Discount on spa services.
- Total discounted price = \( 333 - 18 = 315 \) dollars.
5. **Overall markdown:**
- Overall markdown = Total regular price - Package price.
- Overall markdown = \( 333 - 183 = 150 \) dollars.
6. **Overall rate of markdown:**
- Overall rate of markdown = \( \left( \frac{Overall\ markdown}{Total\ regular\ price} \right) \times 100 \% \).
- Overall rate of markdown = \( \left( \frac{150}{333} \right) \times 100 \% \).
- Overall rate of markdown ≈ 45.05% (rounded to two decimal places).
### Answers:
(a) The overall markdown was $150.
(b) The overall rate of markdown was 45.05%.