Years
>
Year 7>
Percentages>
Find Base from Percent of an Amount (Unitary Method)>
Find Base from Percent of an Amount (Unitary Method) 2Find Base from Percent of an Amount (Unitary Method) 2
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
`2%` of an amount is `$70`. Find the original amount.- `$` (3500)
Hint
Help VideoCorrect
Fantastic!
Incorrect
First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.`\text(Known value)=$70``\text(Percentage of known value)=2%``\text(Percentage of total value)=100%``\text(Total value)=?`
`\text(Proportion Method)`To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.Let the original amount be `x`$$\frac{\color{#007DDC}{2}}{\color{#e85e00}{100}}$$ `=` $$\frac{\color{#00880A}{70}}{\color{#9a00c7}{x}}$$ `2timesx` `=` `70times100` Cross multiply `2x` `=` $$7000$$ `2x``divide2` `=` $$7000\color{#CC0000}{\div2}$$ Divide both sides by `2` `x` `=` `3500` Hence, `$70` is `2%` of $$\underline{\color{#9a00c7}{$3500}}$$`$3500``1% \text(Method) -\text(Unitary Method)`First, find the `1%` of the total value by dividing both known values by `2`.`2%` `=` `$70` `2``divide2` `=` `70``divide2` Divide both sides by `2` `1` `=` `35` Hence, `1%` of the original amount is `$35`.To find the total value, which is `100%` of the value, multiply the `1%` value, which is `35`, by `100`.`100%` `=` `35times100` `=` `3500` Hence, `$70` is `2%` of $$\underline{\color{#9a00c7}{$3500}}$$`$3500` -
Question 2 of 4
2. Question
`8%` of an amount is `$72`. Find the original amount.- `$` (900)
Hint
Help VideoCorrect
Fantastic!
Incorrect
First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.`\text(Known value)=$72``\text(Percentage of known value)=8%``\text(Percentage of total value)=100%``\text(Total value)=?`
`\text(Proportion Method)`To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.Let the original amount be `x`$$\frac{\color{#007DDC}{8}}{\color{#e85e00}{100}}$$ `=` $$\frac{\color{#00880A}{72}}{\color{#9a00c7}{x}}$$ `8timesx` `=` `72times100` Cross multiply `8x` `=` $$7200$$ `8x``divide8` `=` $$7200\color{#CC0000}{\div8}$$ Divide both sides by `8` `x` `=` `900` Hence, `$72` is `8%` of $$\underline{\color{#9a00c7}{$900}}$$`$900``1% \text(Method) -\text(Unitary Method)`First, find the `1%` of the total value by dividing both known values by `8`.`8%` `=` `$72` `8``divide8` `=` `72``divide8` Divide both sides by `8` `1` `=` `9` Hence, `1%` of the original amount is `$9`.To find the total value, which is `100%` of the value, multiply the `1%` value, which is `9`, by `100`.`100%` `=` `9times100` `=` `900` Hence, `$72` is `8%` of $$\underline{\color{#9a00c7}{$900}}$$`$900` -
Question 3 of 4
3. Question
`42%` of an amount is `77 \text(cm)`. Find the original amount.Round your answer to one decimal place- (183.3) `\text(cm)`
Hint
Help VideoCorrect
Nice Job!
Incorrect
First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.`\text(Known value)=77 \text(cm)``\text(Percentage of known value)=42%``\text(Percentage of total value)=100%``\text(Total value)=?`
`\text(Proportion Method)`To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.Let the original amount be `x`$$\frac{\color{#007DDC}{42}}{\color{#e85e00}{100}}$$ `=` $$\frac{\color{#00880A}{77}}{\color{#9a00c7}{x}}$$ `42timesx` `=` `77times100` Cross multiply `42x` `=` $$7700$$ `42x``divide42` `=` $$7700\color{#CC0000}{\div42}$$ Divide both sides by `42` `x` `=` `183.3` Rounded to one decimal place Hence, `77 \text(cm)` is `42%` of $$\underline{\color{#9a00c7}{183.3\;\text{cm}}}$$`183.3 \text(cm)``1% \text(Method) -\text(Unitary Method)`First, find the `1%` of the total value by dividing both known values by `42`.`42%` `=` `77 \text(cm)` `42``divide42` `=` `77``divide42` Divide both sides by `42` `1` `=` `1.833…` Hence, `1%` of the original amount is `1.833… \text(cm)`.To find the total value, which is `100%` of the value, multiply the `1%` value, which is `1.833…`, by `100`.`100%` `=` `1.833…times100` `=` `183.3` Rounded to one decimal place Hence, `77 \text(cm)` is `42%` of $$\underline{\color{#9a00c7}{183.3\;\text{cm}}}$$`183.3 \text(cm)` -
Question 4 of 4
4. Question
Andrew earned `$481` as a commission for selling office furniture. If his commission rate is `9 1/4%` how much was made in sales?- `$` (5200)
Hint
Help VideoCorrect
Keep Going!
Incorrect
A commission is expressed as a percentage of the value of goods sold.First, summarise the data and draw a diagram for easier understanding of the problem`\text(Commission earned)=$481``\text(Commission rate)=9 1/4%``\text(Percentage of total sales)=100%``\text(Total sales)=?`
To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.Let the original amount be `x`$$\frac{\color{#007DDC}{9\;\frac{1}{4}}}{\color{#e85e00}{100}}$$ `=` $$\frac{\color{#00880A}{481}}{\color{#9a00c7}{x}}$$ `9 1/4timesx` `=` `481times100` Cross multiply `9 1/4x` `=` $$48{,}100$$ `9 1/4x``divide9 1/4` `=` $$48{,}100\color{#CC0000}{\div9\;\frac{1}{4}}$$ Divide both sides by `9 1/4` `x` `=` `5200` Hence, Andrew’s total sales were $$\underline{\color{#9a00c7}{$5200}}$$`$5200`
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