Sam bought a bicycle for $200. A year later, he sold it for $150. What is the percent decrease in the price of the bicycle?


To calculate the percent decrease in the price of the bicycle, we can use the formula for percent decrease:

\[
\text{Percent Decrease} = \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \times 100
\]

In this case:
- Original Price = $200
- New Price = $150

Substitute the values into the formula:

\[
\text{Percent Decrease} = \frac{200 - 150}{200} \times 100 = \frac{50}{200} \times 100 = 0.25 \times 100 = 25\%
\]

Thus, the percent decrease in the price of the bicycle is **25%**.

Would you like more details or have any questions?

Here are 5 related questions to further your understanding:
1. What if Sam had sold the bicycle for $100? What would the percent decrease be?
2. How would you calculate the percent increase if Sam had sold the bike for more than $200?
3. What is the formula for calculating the original price, given the percent decrease and new price?
4. If Sam bought the bicycle for $300 and sold it for $200, what would the percent decrease be?
5. How does knowing percent changes help in making financial decisions?

**Tip:** When solving percent decrease problems, always subtract the new price from the original price, then divide by the original price.

Sam bought a bicycle for $200. A year later, he sold it for $150. What is the percent decrease in the price of the bicycle?

Learn how to calculate the percent decrease when the price of a bicycle drops from $200 to $150. Using the percent decrease formula, this problem is perfect for middle school students (Grades 6-8) and covers key concepts like ratios and proportions.

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