Question

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Answer 1

(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%

Explanation:

In this question, we can use the following formula:

`\text{Percentage Change =} \frac{\text{New value - Old Value}}{\text{Old Value}} * 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 =} \frac{\text{2 - 1}}{\text{1}} * 100\\\Rightarrow 100\%`

Increase of 100%

Solution b)

Old Value = 2

New Value = 3

`\text{Percentage Change =} \frac{\text{3 - 2}}{\text{2}} * 100\\\Rightarrow 50\%`

Increase of 50%.

Solution c)

Old Value = 3

New Value = 2

`\text{Percentage Change =} \frac{\text{2 - 3}}{\text{3}} * 100\\\Rightarrow -33.33\%`

Decrease of 33.33%.

Solution d)

Old Value = 2

New Value = 1

`\text{Percentage Change =} \frac{\text{1 - 2}}{\text{2}} * 100\\\Rightarrow -50\%`

Decrease of 50%.

Solution e)

Old Value = 1

New Value = 3

`\text{Percentage Change =} \frac{\text{3 - 1}}{\text{1}} * 100\\\Rightarrow 200\%`

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

`\text{Percentage Change =} \frac{\text{1 - 3}}{\text{3}} * 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%