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Determine the percent change in the price of an item that was selling for \( \$ 175.00 \) last year, and is being sold for \( \$ 140.00 \) this year.

Ask by Knight Potter. in Canada
Mar 10,2025

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The price decreased by 20%.

Solution

To determine the percent change in the price of the item, we can follow these steps: 1. **Identify the original price and the new price:** - Original price (\( P_1 \)) = \( 175.00 \) - New price (\( P_2 \)) = \( 140.00 \) 2. **Calculate the change in price:** \[ \text{Change in price} = P_2 - P_1 \] 3. **Calculate the percent change using the formula:** \[ \text{Percent change} = \left( \frac{\text{Change in price}}{P_1} \right) \times 100 \] Now, let's perform the calculations step by step. ### Step 1: Calculate the change in price \[ \text{Change in price} = 140.00 - 175.00 = -35.00 \] ### Step 2: Calculate the percent change \[ \text{Percent change} = \left( \frac{-35.00}{175.00} \right) \times 100 \] Now, let's calculate the percent change. \[ \text{Percent change} = \left( -0.2 \right) \times 100 = -20\% \] ### Conclusion The percent change in the price of the item is \( -20\% \), indicating a decrease in price.

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To find the percent change, you can use the formula: \[ \text{Percent Change} = \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \times 100 \] Plugging in the values: \[ \text{Percent Change} = \frac{140 - 175}{175} \times 100 = \frac{-35}{175} \times 100 \approx -20\% \] So, the price has decreased by approximately \( 20\% \). Now, when prices change, it often reflects broader economic trends. For instance, a significant drop in the price of an item may indicate a surplus of that product, changes in consumer demand, or even shifts in manufacturing costs. Understanding these factors can give buyers insight into market conditions and future price fluctuations. If you're tracking price changes, keep an eye on seasonality. Many items have pricing cycles, such as electronics often going on sale during specific holidays. Staying aware of these patterns not only helps in snagging the best deals but also in understanding when it might be best to hold off on a purchase or stock up!

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