Question
Determine the percent change in the price of an item tha was selling for \( \$ 175.00 \) last year, and is being sold for \( \$ 140.00 \) this year.
Ask by Mcfarlane Maxwell. in Canada
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The price decreased by 20%.
Solution
1. We start with the percent change formula:
\[
\text{Percent Change} = \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \times 100\%
\]
2. Substitute the given values (old price = \(175.00\) and new price = \(140.00\)):
\[
\frac{140.00 - 175.00}{175.00} \times 100\%
\]
3. Calculate the difference in the numerator:
\[
140.00 - 175.00 = -35.00
\]
So, the expression becomes:
\[
\frac{-35.00}{175.00} \times 100\%
\]
4. Compute the division:
\[
\frac{-35.00}{175.00} = -0.2
\]
5. Multiply by 100 to convert to a percentage:
\[
-0.2 \times 100\% = -20\%
\]
The percent change in the price of the item is \(-20\%\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To determine the percent change in the price of the item, you can use the formula: \[ \text{Percent Change} = \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \times 100 \] Here, the old price is \( \$175.00 \) and the new price is \( \$140.00 \). Plugging in the values: \[ \text{Percent Change} = \frac{140 - 175}{175} \times 100 = \frac{-35}{175} \times 100 = -20\% \] So, the percent change in the price of the item is a decrease of 20%. This makes it a great opportunity to grab a bargain for those looking to save a little cash!