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Review: Multi-step percent increase and decrease
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Learn it Successive percent changes multiply: an increase of p% is × (1 + p/100), a decrease is × (1 − p/100). You cannot just add the percents.
Example: A $\$200$ item goes up 20%, then down 20%. What is the final price?
- Up 20%: $200 \times 1.2 = 240$.
- Down 20%: $240 \times 0.8 = 192$.
- Final $\$192$: an overall drop of 4%, not 0%!
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