Question
You can buy a mountain bike on sale for only \( \$ 592.97 \). What is the percent markdown, if the original price was \( \$ 689.50 \) ? (Round to the nearest whole percent.) Select one:
Ask by Whittaker Rose. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The percent markdown is 14%.
Solution
To determine the percent markdown on the mountain bike, follow these steps:
1. **Calculate the Difference in Price:**
\[
\text{Difference} = \text{Original Price} - \text{Sale Price} = \$689.50 - \$592.97 = \$96.53
\]
2. **Calculate the Percent Markdown:**
\[
\text{Percent Markdown} = \left( \frac{\text{Difference}}{\text{Original Price}} \right) \times 100\% = \left( \frac{96.53}{689.50} \right) \times 100\%
\]
3. **Perform the Division:**
\[
\frac{96.53}{689.50} \approx 0.14
\]
4. **Convert to Percentage:**
\[
0.14 \times 100\% = 14\%
\]
**Rounded to the nearest whole percent, the percent markdown is **14%**.
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Simplify this solution Mind Expander
To find the percent markdown, first calculate the difference between the original price and the sale price. The formula is: \[ \text{Markdown Amount} = \text{Original Price} - \text{Sale Price} = 689.50 - 592.97 = 96.53 \] Now, to find the percent markdown, use the formula: \[ \text{Percent Markdown} = \left(\frac{\text{Markdown Amount}}{\text{Original Price}}\right) \times 100 \] Substituting in the values: \[ \text{Percent Markdown} = \left(\frac{96.53}{689.50}\right) \times 100 \approx 14.01\% \] Rounded to the nearest whole percent, the percent markdown is approximately \( 14\% \).
