Question

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Answer 1

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:

In this question, we can use the following formula:

$\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100$

Positive value of percentage change means increase and

Negative value of percentage change means decrease.

Solution a)

Old Value = 1

New Value = 2

$\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%$

Increase of 100%

Solution b)

Old Value = 2

New Value = 3

$\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%$

Increase of 50%.

Solution c)

Old Value = 3

New Value = 2

$\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%$

Decrease of 33.33%.

Solution d)

Old Value = 2

New Value = 1

$\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%$

Decrease of 50%.

Solution e)

Old Value = 1  

New Value = 3

$\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%$

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

$\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%$

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%