Math Problem Statement
A store buys a watch for $75 and marks it up by 40%. During a clearance sale, the price of the watch is reduced by 25%.
What is the final sale price of the watch?
Solution
To find the final sale price of the watch, follow these steps:
1. Marking up the price by 40%
The store buys the watch for $75 and marks it up by 40%. The markup amount is calculated as: Now, add the markup to the original price to get the new price:
2. Reducing the price by 25%
During the clearance sale, the price is reduced by 25%. The discount amount is calculated as: Now, subtract the discount from the new price to get the final sale price:
Conclusion:
The final sale price of the watch is $78.75.
Would you like more details or have any questions?
Here are 5 related questions to explore:
- What would be the sale price if the store marked up the watch by 50% instead of 40%?
- If the markup was 40%, but the clearance discount was 30%, what would the final price be?
- How much profit does the store make after the clearance sale?
- What would the final sale price be if the initial price was $100 with the same markup and discount?
- How does the percentage markup affect the final profit?
Tip: When calculating discounts, always apply them to the marked-up price, not the original purchase price!
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Math Problem Analysis
Mathematical Concepts
Percentages
Markup and Discount Calculations
Formulas
Markup = Cost Price × Markup Percentage
New Price = Cost Price + Markup
Discount = Marked Price × Discount Percentage
Final Price = Marked Price - Discount
Theorems
Percentage Calculations
Suitable Grade Level
Grades 6-8
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