Percent of Change
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
What is the percent increase from `$250` to `$300`?- (20)`%`
Hint
Help VideoCorrect
Great Work!
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`=$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)`%`
Hint
Help VideoCorrect
Correct!
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)`%`
Hint
Help VideoCorrect
Keep Going!
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
Help VideoCorrect
Fantastic!
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%`
Quizzes
- Percent from a Graph (Visual) 1
- Percent from a Graph (Visual) 2
- Percent from a Graph (Visual) 3
- Convert Between Percentages, Fractions and Decimals 1
- Convert Between Percentages, Fractions and Decimals 2
- Convert Between Percentages, Fractions and Decimals 3
- Convert Between Percentages, Fractions and Decimals 4
- Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 1
- Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 2
- Percent of an Amount 1
- Percent of an Amount 2
- Increase and Decrease an Amount by a Percent 1
- Increase and Decrease an Amount by a Percent – Word Problems 1
- Increase and Decrease an Amount by a Percent – Word Problems 2
- Increase and Decrease an Amount by a Percent – Word Problems 3
- Percent of Change
- Percent of Change – Word Problems
- Percent of an Amount – Word Problems 1
- Percent of an Amount – Word Problems 2
- Percent of an Amount – Word Problems 3
- Find Base from Percent of an Amount (Unitary Method) 1
- 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