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Question 7 of 7 >
A lakeside resort offered a midweek package at $$183 per night for two people. The package included accom for two, regularly priced at $$15 per person, and a 15% discount on spa services, a value of $60 per person.
(a) What was the overall markdown at which the packages were sold?
(b) What was the overall rate of markdown at which the packages were sold?
T
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(a) The overall markdown was S
(Type an integer or a decimal.)
(b) The overall rate of markdown was ☐ %.
(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal place

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Verified Answer :

sitapoudellamichhane sitapoudellamichhane · Answer 1 · 2024-05-28T22:46:20-04:00

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: @@MATH_TOKEN_1@@ dollars.

2. **Calculate the total regular price without discount:**

- Total regular price = Accommodation + Breakfast + Spa Services

- Total regular price = @@MATH_TOKEN_2@@ 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%.