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%.

First markdown=130×0.25=32.5\text{First markdown} = 130 \times 0.25 = 32.5

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

Sale price after first markdown=13032.5=97.5\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%.

Second markdown=97.5×0.15=14.625\text{Second markdown} = 97.5 \times 0.15 = 14.625

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

Sale price after second markdown=97.514.625=82.875\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.

Final markdown=130×0.65=84.5\text{Final markdown} = 130 \times 0.65 = 84.5

The final selling price is:

Final price=13084.5=45.5\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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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