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Increase and Decrease an Amount by a Percent - Word Problems>
Increase and Decrease an Amount by a Percent – Word Problems 3Increase and Decrease an Amount by a Percent – Word Problems 3
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Question 1 of 3
1. Question
A jacket is `25%` off its normal price which is `$189.95`. What is the new selling price?Round your answer to two decimal places- `$` (142.46)
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A percentage describes an amount’s relation to a whole. Moving the value’s decimal point `2` places to the left converts it into a decimal.Decreasing Amount by Percentage
$$\mathsf{\color{#007DDC}{new\;amount}}=\mathsf{\color{#00880A}{original}}-\mathsf{\color{#9a00c7}{decrease}}$$Method OneFirst, solve for `25%` of the original amount, `$189.95`. Use decimals for easier computation.`25%times``189.95` `=` `0.25times189.95` Convert percentage to decimal `=` `$47.49` Next, use the formula to get the new amount$$\mathsf{\color{#007DDC}{new\;amount}}$$ `=` $$\mathsf{\color{#00880A}{original}}-\mathsf{\color{#9a00c7}{decrease}}$$ `=` `189.95``-``47.49` `=` `$142.46` The new price of the jacket with a `25%` discount is `$142.46``$142.46`Method TwoFind the percentage of the new amount by subtracting the discount, `25%`, from `100%``100%-25%` `=` `75%` Next, compute for `75%` of the original price. Use decimals for easier computation.`75%``times189.95` `=` `0.75times189.95` Convert percentage to decimal `=` `$142.46` The new price of the jacket with a `25%` discount is `$142.46``$142.46` -
Question 2 of 3
2. Question
A remote control aircraft costs `$450`. If a sales tax of `7.25%` is added, what is the new price?Round your answer to two decimal places- `$` (482.63)
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A percentage describes an amount’s relation to a whole. Moving the value’s decimal point `2` places to the left converts it into a decimal.Increasing Amount by Percentage
$$\mathsf{\color{#007DDC}{new\;amount}}=\mathsf{\color{#00880A}{original}}+\mathsf{\color{#9a00c7}{increase}}$$Method OneFirst, solve for `7.25%` of the original amount, `$450`. Use fractions for easier computation.`7.25%times``450` `=` `7.25/100 times 450/1` Convert to fraction form `=` `3262.5/100` `=` `32.625` Move the decimal point two places to the left `=` `$32.63` Round off to two decimal places Next, use the formula to get the new amount$$\mathsf{\color{#007DDC}{new\;amount}}$$ `=` $$\mathsf{\color{#00880A}{original}}+\mathsf{\color{#9a00c7}{increase}}$$ `=` `450``+``32.63` `=` `$482.63` The new price of the remote control aircraft with a `7.25%` sales tax is `$482.63``$482.63`Method TwoFind the percentage of the new amount by adding the sales tax, `7.25%`, to `100%``100%+7.25%` `=` `107.25%` Next, compute for `107.25%` of the original price. Use decimals for easier computation.`107.25%``times450` `=` `107.25/100 times 450` Convert percentage to fraction `=` `1.0725times450` Convert fraction to decimal `=` `$482.63` The new price of the remote control aircraft with a `7.25%` sales tax is `$482.63``$482.63` -
Question 3 of 3
3. Question
A hat costs `$19.95`. If a sales tax of `6.75%` is added, what is the new price?Round your answer to two decimal places- `$` (21.30, 21.3)
Hint
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Excellent!
Incorrect
A percentage describes an amount’s relation to a whole. Moving the value’s decimal point `2` places to the left converts it into a decimal.Increasing Amount by Percentage
$$\mathsf{\color{#007DDC}{new\;amount}}=\mathsf{\color{#00880A}{original}}+\mathsf{\color{#9a00c7}{increase}}$$Method OneFirst, solve for `6.75%` of the original amount, `$19.95`. Use decimals for easier computation.`6.75%times``19.95` `=` `6.75/100times19.95/1` Convert values to fractions `=` `0.0675times19.95` Convert fraction to decimal `=` `1.346625` `=` `$1.35` Round off to two decimal places Next, use the formula to get the new amount$$\mathsf{\color{#007DDC}{new\;amount}}$$ `=` $$\mathsf{\color{#00880A}{original}}+\mathsf{\color{#9a00c7}{increase}}$$ `=` `19.95``+``1.35` `=` `$21.30` The new price of the hat with a `6.75%` sales tax is `$21.30``$21.30`Method TwoFind the percentage of the new amount by adding the sales tax, `7.25%`, to `100%``100%+6.75%` `=` `106.75%` Next, compute for `106.75%` of the original price. Use decimals for easier computation.`106.75%``times19.95` `=` `106.75/100times19.95` Convert percentage to fraction `=` `1.0675times19.95` Convert fraction to decimal `=` `$21.30` The new price of the hat with a `6.75%` sales tax is `$21.30``$21.30`
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