Years
>
Year 11>
Percentages>
Percent of Change - Word Problems>
Percent of Change – Word ProblemsPercent of Change – Word Problems
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 6 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
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
- 5
- 6
- Answered
- Review
-
Question 1 of 6
1. Question
A shop retailer increased the price of his best-selling sunglasses from `$24` to `$30`. Find the percentage change.- (25)`%`
Hint
Help VideoCorrect
Well Done!
Incorrect
Percent Change Between Two Amounts
$$\mathsf{\frac{\color{#9a00c7}{change}}{\color{#00880A}{original}}}=\frac{r}{100}$$Amount of Change
$$\mathsf{\color{#9a00c7}{change}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$First, compute for the amount of change$$\mathsf{\color{#9a00c7}{change}}$$ `=` $$\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$ `=` $$\color{#007DDC}{30}-\color{#00880A}{24}$$ `=` `$6` Use the formula to get the value of percent change `(r)`$$\mathsf{\frac{\color{#9a00c7}{change}}{\color{#00880A}{original}}}$$ `=` $$\frac{r}{100}$$ $$\frac{\color{#9a00c7}{6}}{\color{#00880A}{24}}$$ `=` $$\frac{r}{100}$$ `24r` `=` `6(100)` Cross multiply `24r` `=` `600` `r` `=` $$\frac{600}{24}$$ `r` `=` `25%` `25%` -
Question 2 of 6
2. Question
A painting bought last year for `$800` just sold this year for `$1200`. What is the percentage profit?- (50)`%`
Hint
Help VideoCorrect
Great Work!
Incorrect
Percent Profit Between Two Amounts
$$\mathsf{percent\;profit}=\mathsf{\frac{\color{#9a00c7}{profit}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Amount of Profit
$$\mathsf{\color{#9a00c7}{profit}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$First, compute for the amount of profit$$\mathsf{\color{#9a00c7}{profit}}$$ `=` $$\mathsf{\color{#007DDC}{new\;price}}-\mathsf{\color{#00880A}{original}}$$ `=` $$\color{#007DDC}{1200}-\color{#00880A}{800}$$ `=` `$400` Use the formula to get the percent profit.$$\mathsf{percent\;profit}$$ `=` $$\mathsf{\frac{\color{#9a00c7}{profit}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#9a00c7}{400}}{\color{#00880A}{800}}\times\frac{100}{1}$$ `=` $$\frac{4}{8}\times\frac{100}{1}$$ Cancel the zeroes `=` $$\frac{400}{8}$$ `=` $$50\%$$ `50%` -
Question 3 of 6
3. Question
A t-shirt originally costs `$20`. Later, it sells for `$24`. What is the percentage profit?- (20)`%`
Hint
Help VideoCorrect
Excellent!
Incorrect
Percent Profit Between Two Amounts
$$\mathsf{percent\;profit}=\mathsf{\frac{\color{#9a00c7}{profit}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Amount of Profit
$$\mathsf{\color{#9a00c7}{profit}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$First, compute for the amount of profit$$\mathsf{\color{#9a00c7}{profit}}$$ `=` $$\mathsf{\color{#007DDC}{new\;price}}-\mathsf{\color{#00880A}{original}}$$ `=` $$\color{#007DDC}{24}-\color{#00880A}{20}$$ `=` `$4` Use the formula to get the percent profit.$$\mathsf{percent\;profit}$$ `=` $$\mathsf{\frac{\color{#9a00c7}{profit}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#9a00c7}{4}}{\color{#00880A}{20}}\times\frac{100}{1}$$ `=` $$\frac{400}{20}$$ `=` $$\frac{40}{2}$$ Cancel the zeroes `=` $$20\%$$ `20%` -
Question 4 of 6
4. Question
A car dealer purchases a vehicle wholesale for a cost of $$$19{,}500$$. Later, he sells it for $$$26{,}300$$. What is the percentage profit?Round off answer to `1` decimal place.- (34.9)`%`
Hint
Help VideoCorrect
Well Done!
Incorrect
Percent Profit Between Two Amounts
$$\mathsf{percent\;profit}=\mathsf{\frac{\color{#9a00c7}{profit}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Amount of Profit
$$\mathsf{\color{#9a00c7}{profit}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$First, compute for the amount of profit$$\mathsf{\color{#9a00c7}{profit}}$$ `=` $$\mathsf{\color{#007DDC}{new\;price}}-\mathsf{\color{#00880A}{original}}$$ `=` $$\color{#007DDC}{26{,}300}-\color{#00880A}{19{,}500}$$ `=` `$6800` Use the formula to get the percent profit.$$\mathsf{percent\;profit}$$ `=` $$\mathsf{\frac{\color{#9a00c7}{profit}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#9a00c7}{6800}}{\color{#00880A}{19{,}500}}\times\frac{100}{1}$$ `=` $$\frac{6800}{195}$$ Cancel the zeroes `=` $$34.9\%$$ `34.9%` -
Question 5 of 6
5. Question
A `90`-gram snack bar is now `18` grams heavier. What is the percent increase on its weight?- (20)`%`
Hint
Help VideoCorrect
Fantastic!
Incorrect
Percent Increase Between Two Amounts
$$\mathsf{percent\;increase}=\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Amount of Increase
$$\mathsf{\color{#9a00c7}{increase}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$$Use the formula to get the percent increase$$\mathsf{percent\;increase}$$ `=` $$\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#9a00c7}{18}}{\color{#00880A}{90}}\times\frac{100}{1}$$ `=` $$\frac{18}{9}\times\frac{10}{1}$$ Cancel the zeroes `=` $$\frac{18\times10}{9\times1}$$ `=` $$\frac{180}{9}$$ `=` `20%` `20%` -
Question 6 of 6
6. Question
A snack bar used to contain `12`g of sugar. Now it contains `3`g less sugar. What is the percentage decrease in sugar?- (25)`%`
Hint
Help VideoCorrect
Exceptional!
Incorrect
Percent Decrease Between Two Amounts
$$\mathsf{percent\;decrease}=\mathsf{\frac{\color{#9a00c7}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$$Use the formula to get the percent decrease$$\mathsf{percent\;decrease}$$ `=` $$\mathsf{\frac{\color{#9a00c7}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$$ `=` $$\frac{\color{#9a00c7}{3}}{\color{#00880A}{12}}\times\frac{100}{1}$$ `=` $$\frac{1}{4}\times\frac{100}{1}$$ Cancel the zeroes `=` $$\frac{25}{1}$$ `=` `25%` `25%`
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