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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

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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%.

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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!

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