Percentage Change D6296A
1. Let's start by understanding the problem: calculating percentage increase or decrease, or both in the same problem.
2. The formula for percentage increase is:
$$\text{Percentage Increase} = \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100\%$$
This tells us how much a value has grown compared to the original.
3. The formula for percentage decrease is:
$$\text{Percentage Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100\%$$
This tells us how much a value has reduced compared to the original.
4. Important rules:
- If the new value is greater than the original, it's an increase.
- If the new value is less than the original, it's a decrease.
5. When both increase and decrease happen in the same problem, calculate each step separately using the formulas above.
6. Example: Suppose a price increases from 100 to 120, then decreases to 90.
- First increase:
$$\frac{120 - 100}{100} \times 100\% = 20\%$$ increase.
- Then decrease:
$$\frac{120 - 90}{120} \times 100\% = 25\%$$ decrease.
7. Always use the immediate previous value as the original value for the next calculation.
This method helps you calculate percentage changes clearly and accurately.