The scenarios where it is greater than the original; (1) A 100% increase followed by a 33[tex]\frac{1}{3}[/tex]% decrease, (3) A 50% increase followed by a 33[tex]\frac{1}{3}[/tex]% decrease and (5) a 60% increase followed by a 40% decrease.
The scenario where it is lesser than the original; (3) A 75% decrease followed by a 50% increase.
The scenario in which it is the same as the original; (2) A $20 decrease followed by a $20 increase.
Explanation:
- Assume the original values for all the scenarios are x.
- Scenario 1; A 100% increase is represented by x + 100% and then a 33[tex]\frac{1}{3}[/tex]% decrease will be x + 100% - 331.666x which is greater than x.
- Scenario 2; A $20 decrease is x - $20 and then a $20 increase will equal x - $20 + $20 = $x, which equals the original $x.
- Scenario 3; A 75% decrease is represented by x - 75% and then a 50% increase will be x - 75% + 50% = x - 25% = 0.75x, which is greater than x.
- Scenario 4; A 50% increase is represented by x + 50% and then a 33[tex]\frac{1}{3}[/tex]% decrease will be x + 50% - 331.166x which is greater than x.
- Scenario 5; A 60% increase is represented by x + 60% and then a 40% decrease will be x + 60% - 40% = x + 20%, 1.2x which is greater than x.
