Answer:
- same as original.
- less than original.
- less than original.
- same as original.
- greater than original.
Step-by-step explanation:
Let the original amount be $100.
A) 50% decrease = 100-50%of 100=100-50=$50
Then increase 100 % = 50+100% of 50=50+50=$100, which is same as original.
B) 20% increase = 100+20%of 100=100+20=$120
Then decrease 25 % = 120-25% of 120=120-30=$90, which is less than original.
C) $25 increase = 100+25=$125
Then decrease $30= 125-30=$95, which is less than original.
D) [tex]33\frac{1}{3}\%=\frac{100}{3}%[/tex]
[tex]\frac{100}{3}\%[/tex] decrease =[tex]100-\frac{100}{3}\%\ of\ 100=\frac{200}{3}[/tex]
Then increase 50%=[tex]\frac{200}{3}+50\%\ of\ \frac{200}{3}=\frac{300}{3}=100[/tex], which is same as original.
E) 80% increase = 100+80%of 100=100+80=$180
Then decrease 40% = 180-40% of 180=180-72=$102, which is greater than original.
