Math Problem Statement
The list price of an item is $91.33. The supplier is offering a series trade discount of 18 divided by 11 divided by 19. Find the net cost. Question content area bottom Part 1 The net cost of the item is $ enter your response here.
Solution
To find the net cost of the item after applying a series of trade discounts, we follow these steps:
- The list price is $91.33.
- The series trade discounts are 18%, 11%, and 19%.
The net cost is calculated as follows:
where , , and are the discount rates in decimal form.
First, convert the discounts to decimals:
Now, let's calculate the net cost.
Let me calculate that for you.The net cost of the item, after applying the series trade discount, is approximately $53.99.
Do you need any further details or clarification?
Here are some related questions to consider:
- How do different types of discounts affect the final price?
- What is the difference between a single discount and a series of discounts?
- How can you reverse the process to find the original price given the net cost?
- What would be the net cost if the discounts were applied in a different order?
- How does the application of compound discounts compare to applying a single equivalent discount?
Tip: When dealing with multiple discounts, remember that they apply consecutively, not additively.
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Math Problem Analysis
Mathematical Concepts
Percentage
Discount Calculation
Series Discount
Formulas
Net cost = List price × (1 - d1) × (1 - d2) × (1 - d3)
Theorems
Percentage Discount
Suitable Grade Level
Grades 9-12
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