Math Problem Statement
A ladies' suit selling for $130 is marked down 25% for a special promotion. It is later marked down 15% of the sale price. Since the suit still hasn't sold, it is marked down to a price that is 65% off the original selling price. What are the two sale prices of the suit? What is the final selling price of the suit?
Solution
We can solve this step by step by calculating the sale prices at each stage of the markdown.
Step 1: First markdown of 25%
The original price of the suit is $130. It is marked down by 25%.
So, the new sale price after the first markdown is:
Step 2: Second markdown of 15% on the sale price
Now the sale price of $97.5 is further marked down by 15%.
So, the new sale price after the second markdown is:
Step 3: Final markdown to 65% off the original price
Now, the suit is finally marked down to 65% off the original price of $130.
The final selling price is:
Summary
- First sale price: $97.50
- Second sale price: $82.88
- Final selling price: $45.50
Would you like more details or further clarification on any step?
Here are 5 follow-up questions to extend this:
- What would happen if the initial markdown was 30% instead of 25%?
- How would the final price change if the second markdown was 20% instead of 15%?
- What is the total percentage decrease from the original price to the final price?
- If the original price was $200, how would the final price change after applying the same markdowns?
- Can you calculate the total dollar amount saved after all the markdowns?
Tip: Percentages are a great way to understand discounts, and breaking them down step by step makes it easier to follow.
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Math Problem Analysis
Mathematical Concepts
Percentage Discounts
Sequential Markdowns
Basic Arithmetic
Formulas
First markdown = Original price × Percentage
New price after markdown = Original price - Markdown amount
Final price = Original price - (Original price × Total percentage off)
Theorems
None (Basic Arithmetic Operations)
Suitable Grade Level
Grades 6-8
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