Percent of Change
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Question 1 of 4
1. Question
What is the percent increase from `$250` to `$300`?- (20)`%`
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Percent Increase Between Two Amounts
$$\mathsf{percent\;increase}=\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Amount of Increase
$$\mathsf{\color{#9a00c7}{increase}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$First, find the increase by using the formula for it.new amount`=$300`original`=$250`$$\mathsf{\color{#9a00c7}{increase}}$$ `=` $$\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$ `=` `$300-$250` `=` `$50` Finally, use the formula to get the percent increase$$\mathsf{percent\;increase}$$ `=` $$\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#9a00c7}{50}}{\color{#00880A}{250}}\times\frac{100}{1}$$ `=` $$\frac{5}{25}\times\frac{100}{1}$$ Cancel the zeroes `=` $$\frac{5\div\color{#CC0000}{5}}{25\div\color{#CC0000}{5}}\times\frac{100}{1}$$ `=` $$\frac{1}{5}\times\frac{100}{1}$$ `=` $$\frac{100}{5}$$ `=` `20%` `20%` -
Question 2 of 4
2. Question
What is the percent increase from `30 \text(kg)` to `150 \text(kg)`?- (400)`%`
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Incorrect
Percent Increase Between Two Amounts
$$\mathsf{percent\;increase}=\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Amount of Increase
$$\mathsf{\color{#9a00c7}{increase}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$First, find the increase by using the formula for it.new amount`=150 \text(kg)`original`=30 \text(kg)`$$\mathsf{\color{#9a00c7}{increase}}$$ `=` $$\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$ `=` `150 \text(kg)-30 \text(kg)` `=` `120 \text(kg)` Finally, use the formula to get the percent increase$$\mathsf{percent\;increase}$$ `=` $$\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#9a00c7}{120}}{\color{#00880A}{30}}\times\frac{100}{1}$$ `=` $$\frac{12}{3}\times\frac{100}{1}$$ Cancel the zeroes `=` $$\frac{12\div\color{#CC0000}{3}}{3\div\color{#CC0000}{3}}\times\frac{100}{1}$$ `=` $$\frac{4}{1}\times\frac{100}{1}$$ `=` $$\frac{400}{1}$$ `=` `400%` `400%` -
Question 3 of 4
3. Question
What is the percent decrease from `72 \text(m)` to `36 \text(m)`?- (50)`%`
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Incorrect
Percent Decrease Between Two Amounts
$$\mathsf{percent\;decrease}=\mathsf{\frac{\color{#e85e00}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Amount of Decrease
$$\mathsf{\color{#e85e00}{decrease}}=\mathsf{\color{#00880A}{original}}-\mathsf{\color{#007DDC}{new\;amount}}$$First, find the decrease by using the formula for it.new amount`=36 \text(m)`original`=72 \text(m)`$$\mathsf{\color{#e85e00}{decrease}}$$ `=` $$\mathsf{\color{#00880A}{original}}-\mathsf{\color{#007DDC}{new\;amount}}$$ `=` `72-36` `=` `36 \text(m)` Finally, use the formula to get the percent decrease$$\mathsf{percent\;decrease}$$ `=` $$\mathsf{\frac{\color{#e85e00}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#e85e00}{36}}{\color{#00880A}{72}}\times\frac{100}{1}$$ `=` $$\frac{36\div\color{#CC0000}{36}}{72\div\color{#CC0000}{36}}\times\frac{100}{1}$$ `=` $$\frac{1}{2}\times\frac{100}{1}$$ `=` $$\frac{100}{2}$$ `=` `50%` `50%` -
Question 4 of 4
4. Question
What is the percent decrease from `35 \text(km)` to `7 \text(km)`?- (80)`%`
Hint
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Incorrect
Percent Decrease Between Two Amounts
$$\mathsf{percent\;decrease}=\mathsf{\frac{\color{#e85e00}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Amount of Decrease
$$\mathsf{\color{#e85e00}{decrease}}=\mathsf{\color{#00880A}{original}}-\mathsf{\color{#007DDC}{new\;amount}}$$First, find the decrease by using the formula for it.new amount`=7 \text(km)`original`=35 \text(km)`$$\mathsf{\color{#e85e00}{decrease}}$$ `=` $$\mathsf{\color{#00880A}{original}}-\mathsf{\color{#007DDC}{new\;amount}}$$ `=` `35-7` `=` `28 \text(km)` Finally, use the formula to get the percent decrease$$\mathsf{percent\;decrease}$$ `=` $$\mathsf{\frac{\color{#e85e00}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#e85e00}{28}}{\color{#00880A}{35}}\times\frac{100}{1}$$ `=` $$\frac{28\div\color{#CC0000}{7}}{35\div\color{#CC0000}{7}}\times\frac{100}{1}$$ `=` $$\frac{4}{5}\times\frac{100}{1}$$ `=` $$\frac{400}{5}$$ `=` `80%` `80%`
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- Percent of an Amount 1
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- Increase and Decrease an Amount by a Percent
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- Percent of an Amount – Word Problems 2
- Percent of an Amount – Word Problems 3
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- Find Base from Percent of an Amount (Unitary Method) 2
- One Amount as a Percentage of Another Amount
- Find Original Amount Before Percent Change (Unitary Method)
- Depreciation