Math Problem Statement
A photographer buys some merchandise with a list price of $9,000. If the supplier offers trade discount rates of 20/10/5, find the trade discount (in $). (Find the single equivalent discount first.)
Solution
To find the trade discount, we first need to compute the single equivalent discount for the discount rates of 20%, 10%, and 5%. We apply each discount successively on the remaining price after the previous discount has been applied.
Step-by-step process:
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List price = $9,000
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First discount (20%):
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Second discount (10%):
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Third discount (5%):
The final price after applying all discounts is $6,156.
Trade Discount:
Thus, the total trade discount is $2,844.
Would you like more details on any step, or further clarification?
Here are five related questions:
- How would the trade discount change if the last discount was 7% instead of 5%?
- What would be the equivalent single discount rate for the combined 20/10/5 trade discounts?
- How does the order of applying discounts affect the final price?
- What is the formula for calculating the single equivalent discount for multiple trade discounts?
- How would the final price change if the initial list price was $12,000 instead of $9,000?
Tip: Always apply trade discounts sequentially rather than adding them together directly!
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Math Problem Analysis
Mathematical Concepts
Percentage Discounts
Successive Discounts
Trade Discount Calculation
Formulas
Final Price after Discount = List Price × (1 - Discount Rate)
Trade Discount = List Price - Final Price
Theorems
Successive Discount Theorem
Suitable Grade Level
Grades 9-12
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