A percentage round trip
Training 2045 minutespercentage sprint
The price is $100. First comes 20% off, then 20% added to the new price. Does the original return?
Training goal: Notice the base of each percentage
▶ Play this trainingSituation
1. Round 1. Price after 20% off $100?
- $120
- $80
- $20
2. Round 2. Now add 20% to $80.
- $96
- $100
- $64
3. Round 3. What increase returns $80 to $100?
- 20%
- 80%
- 25%
4. Round 4. Another 10% off $80. Final price?
- $78
- $72
- $70
What you will learn
- Every percentage has a base
- Recovery requires a different percentage
- Apply sequential discounts in order
Your real-life step
For two discounts, find the intermediate price before applying the second.
Questions and answers
Can discounts simply be added?
Only when terms specify the same base; sequential discounts use different bases.
Why does recovery differ from decline?
Growth is measured from the smaller remaining amount.
Is speed more important than accuracy?
No. Identify the base before speeding up.
More trainings in this module
- The last affordable bid
- A positive month, a cash-short Tuesday
- A fee on which amount?
- Can the reserve take another hit?
- Prices in different units
- A stall breaks even
Numbers are illustrative. A game, not financial advice.