Question
A dishwasher that previously sold for \( \$ 609.99 \) has been reduced to \( \$ 573.39 \). What is the markdown percent? (Round to the nearest whole percent)
Ask by Li Chavez. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The markdown percent is 6%.
Solution
To find the markdown percent, we need to calculate the percentage decrease in the price of the dishwasher.
Given:
- Original price = $609.99
- Reduced price = $573.39
The markdown percent can be calculated using the formula:
\[ \text{Markdown Percent} = \left( \frac{\text{Original Price} - \text{Reduced Price}}{\text{Original Price}} \right) \times 100\% \]
Substitute the given values into the formula:
\[ \text{Markdown Percent} = \left( \frac{609.99 - 573.39}{609.99} \right) \times 100\% \]
Now, let's calculate the markdown percent.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(609.99-573.39\right)}{609.99}\times 100\)
- step1: Remove the parentheses:
\(\frac{609.99-573.39}{609.99}\times 100\)
- step2: Subtract the numbers:
\(\frac{36.6}{609.99}\times 100\)
- step3: Divide the terms:
\(\frac{1220}{20333}\times 100\)
- step4: Multiply:
\(\frac{1220\times 100}{20333}\)
- step5: Multiply:
\(\frac{122000}{20333}\)
The markdown percent is approximately 6.00%.
Therefore, the markdown percent is 6%.
Reviewed and approved by the UpStudy tutoring team
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Bonus Knowledge
To find the markdown percent, you first calculate the amount of the markdown by subtracting the sale price from the original price: \( 609.99 - 573.39 = 36.60 \). Next, divide the markdown amount by the original price and multiply by 100 to get the percentage: \( \frac{36.60}{609.99} \times 100 \approx 6.0\%). Thus, the markdown percent is approximately **6%** when rounded to the nearest whole percent. Now you can happily share this discount with your friends!