DeWitt Company sells a kitchen set for $445. To promote July 4, DeWitt ran the following advertisement:

Beginning each hour up to 4 hours we will mark down the kitchen set 12%. At the end of each hour, we will mark up the set 2%.

Assume Ingrid Swenson buys the set 1 hour 50 minutes into the sale.

What will Ingrid pay?

Note: Round your answer to the nearest cent.



What is the markdown percent?

Note: Enter your response as a percentage rounded to 2 decimal places.



### Step 1: Determine the first markdown.
The kitchen set is priced at $445 initially, and the markdown occurs at the beginning of each hour.

- First hour markdown: $ 12\% $

The price after the first markdown is:

\[
\text{Price after 1st markdown} = 445 \times (1 - 0.12) = 445 \times 0.88 = 391.60
\]

### Step 2: Apply the first markup.
At the end of the first hour, the price is marked up by $2\%$.

\[
\text{Price after 1st markup} = 391.60 \times (1 + 0.02) = 391.60 \times 1.02 = 399.43
\]

### Step 3: Determine the second markdown.
At the beginning of the second hour, another $12\%$ markdown is applied:

\[
\text{Price after 2nd markdown} = 399.43 \times (1 - 0.12) = 399.43 \times 0.88 = 351.50
\]

### Step 4: Apply the second markup.
At the end of the second hour, a $2\%$ markup is applied again:

\[
\text{Price after 2nd markup} = 351.50 \times (1 + 0.02) = 351.50 \times 1.02 = 358.53
\]

### Step 5: Ingrid buys the set.
Ingrid buys the set 1 hour and 50 minutes into the sale. This means she buys it after the second markup, which is the price of $358.53.

### Final Answer:
Ingrid will pay **$358.53** for the kitchen set.

---

### Markdown Percent:

Now, to calculate the total markdown percentage from the original price:

\[
\text{Total Markdown} = \frac{445 - 358.53}{445} \times 100 = \frac{86.47}{445} \times 100 \approx 19.43\%
\]

### Final Answer for Markdown Percent:
The markdown percentage is **19.43\%**.

---

Would you like more details, or do you have any questions?

### Related Questions:
1. What would the price be if Ingrid bought the set after 3 hours?
2. How much would Ingrid save compared to the original price?
3. What would happen if the markup was 3% instead of 2%?
4. How would the price change if there was no markdown and only a markup?
5. What is the total discount Ingrid received after the two markdowns and markups?

### Tip:
Understanding how sequential percentages work (like successive discounts or markups) is essential for solving multi-step pricing problems!

DeWitt Company sells a kitchen set for $445. To promote July 4, DeWitt ran the following advertisement:

Beginning each hour up to 4 hours we will mark down the kitchen set 12%. At the end of each hour, we will mark up the set 2%.

Assume Ingrid Swenson buys the set 1 hour 50 minutes into the sale.

What will Ingrid pay?

What is the markdown percent?

Learn how to calculate the final price of a $445 kitchen set after two markdowns and markups during a sale. Step-by-step solution covers percentage discounts and markups, showing how Ingrid Swenson buys the set 1 hour 50 minutes into the sale, paying $358.53 with a 19.43% total markdown. Ideal for Grades 9-11.

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