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?


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%.

\[
\text{First markdown} = 130 \times 0.25 = 32.5
\]

So, the new sale price after the first markdown is:

\[
\text{Sale price after first markdown} = 130 - 32.5 = 97.5
\]

### Step 2: Second markdown of 15% on the sale price
Now the sale price of $97.5 is further marked down by 15%.

\[
\text{Second markdown} = 97.5 \times 0.15 = 14.625
\]

So, the new sale price after the second markdown is:

\[
\text{Sale price after second markdown} = 97.5 - 14.625 = 82.875
\]

### 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. 

\[
\text{Final markdown} = 130 \times 0.65 = 84.5
\]

The final selling price is:

\[
\text{Final price} = 130 - 84.5 = 45.5
\]

### 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:
1. What would happen if the initial markdown was 30% instead of 25%?
2. How would the final price change if the second markdown was 20% instead of 15%?
3. What is the total percentage decrease from the original price to the final price?
4. If the original price was $200, how would the final price change after applying the same markdowns?
5. 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.

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?

Learn how to calculate sequential markdowns on a $130 ladies' suit, starting with a 25% discount followed by a 15% discount, and finally reduced to 65% off the original price. This detailed step-by-step solution is suitable for middle school students and involves key arithmetic concepts and percentage calculations.

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