Answer:
(a) Increased by 100%
(b) Increased by 50%
(c) Decreased by 33.33%
(d) Decreased by 50%
(e) Increased by 200%
(f) Decreased by 66.67%
Step-by-step explanation:
To calculate percentage change, we can use the following formula:
[tex]\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100[/tex]
Positive value of percentage change means increase and
Negative value of percentage change means decrease.
Solution a)
Old Value = 1
New Value = 2
[tex]\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%[/tex]
Increase of 100%
Solution b)
Old Value = 2
New Value = 3
[tex]\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%[/tex]
Increase of 50%.
Solution c)
Old Value = 3
New Value = 2
[tex]\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%[/tex]
Decrease of 33.33%.
Solution d)
Old Value = 2
New Value = 1
[tex]\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%[/tex]
Decrease of 50%.
Solution e)
Old Value = 1
New Value = 3
[tex]\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%[/tex]
Increase of 200%.
Solution f)
Old Value = 3
New Value = 1
[tex]\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%[/tex]
Decrease of 66.67%.
So, the answer is:
(a) Increased by 100%
(b) Increased by 50%
(c) Decreased by 33.33%
(d) Decreased by 50%
(e) Increased by 200%
(f) Decreased by 66.67%
