To calculate the overall percentage change after a 10% increase followed by a 7% decrease, we can use the formula for successive percentage changes:

$\text{Net Percentage Change} = a + b + \frac{a \cdot b}{100}$

Where:

• $a$ is the first percentage change (10% increase, so $a = 10$),
• $b$ is the second percentage change (7% decrease, so $b = -7$).

Substitute the values:

$\text{Net Percentage Change} = 10 + (-7) + \frac{10 \cdot (-7)}{100}$

$\text{Net Percentage Change} = 10 - 7 - \frac{70}{100}$

$\text{Net Percentage Change} = 10 - 7 - 0.7 = 2.3$

Thus, the overall percentage change is a 2.3% increase.

The correct answer is: 2.3% increase.

Let me know if you have questions or need further clarification!

Related questions to expand your understanding:

1. What is the formula for combining three or more percentage changes successively?
2. How do you calculate the percentage change when only the initial and final values are given?
3. Why does a 10% increase followed by a 10% decrease not result in no change?
4. How does the order of applying percentage changes affect the final outcome?
5. What are practical applications of successive percentage changes in real-life scenarios?

Tip: Always check the signs of percentage changes (positive for increase, negative for decrease) to ensure correct calculations.