The usual price of a bag was $48. Irene sold the bag to Samantha for $60.Find the percentage increase in price.

1. Break Down the Problem

To find the percentage increase in price, we need to:

1. Identify the original price of the bag.
2. Identify the selling price of the bag.
3. Calculate the difference between the selling price and the original price.
4. Determine the percentage increase using the formula: $\text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Original Price}} \right) \times 100$

2. Relevant Concepts

The percentage increase can be calculated with:

• Original Price: $P_0 = 48$
• Selling Price: $P_s = 60$
• Increase: $\text{Increase} = P_s - P_0$

3. Analysis and Detail

1. Calculate the increase in price: $\text{Increase} = P_s - P_0 = 60 - 48 = 12$
2. Use the increase to find the percentage: $\text{Percentage Increase} = \left( \frac{\text{Increase}}{P_0} \right) \times 100 = \left( \frac{12}{48} \right) \times 100$

4. Verify and Summarize

1. Calculate $\frac{12}{48} = 0.25$.
2. Therefore, $\text{Percentage Increase} = 0.25 \times 100 = 25\%$

Final Answer

The percentage increase in price is $25\%$.