Key Concepts
- When applying multiple percentage increases or decreases, the changes are multiplicative, not additive.
- Formula: Final Value = Original Value × (1 + %increase) × (1 - %decrease).
- Example: A 50% increase followed by a 20% decrease does not return to the original value.
Skills Covered
- Solve multi-step problems with multiple percentage increases/decreases.
- Understand how changes in succession affect final values.
Example Problems
- A population increases by 40%, then decreases by 10%. What is the net change?
- A store increases a price by 30%, then applies a 25% discount. What is the final price?
- The price of a comic book rises 20%, then drops 10%. What is the overall percentage change?