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Question 1 of 4
A pair of $200 runners are reduced by 18%. What is the new selling price?
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A percentage describes an amount’s relation to a whole. Dividing it by 100 converts it into a fraction.
First, solve for 18% of the original amount, $200. Use fractions for easier computation.
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18%×200 |
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= |
18100×2001 |
Convert to fraction form |
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= |
181×21 |
Simplify |
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= |
361 |
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= |
$36 |
Next, use the formula to get the new amount
newamount |
= |
original−decrease |
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= |
200-36 |
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= |
$164 |
The new price of the pair of runners with an 18% discount is $164
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Question 2 of 4
An online technology store advertises a 3313% discount on a bluetooth speaker. If the original cost is $390, what is the new selling price?
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A percentage describes an amount’s relation to a whole. Dividing it by 100 converts it into a fraction.
First, solve for 3313% of the original amount, $390. Use fractions for easier computation.
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3313%×390 |
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= |
13×3901 |
Convert to fraction form |
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= |
3903 |
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= |
$130 |
Next, use the formula to get the new amount
newamount |
= |
original−decrease |
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= |
390-130 |
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= |
$260 |
The new price of the speaker with a 3313% discount is $260
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Question 3 of 4
A motorcycle costs $3700 but has been discounted by 30%. What is the new selling price?
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A percentage describes an amount’s relation to a whole. Dividing it by 100 converts it into a fraction.
First, solve for 30% of the original amount, $3700. Use fractions for easier computation.
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30%×3700 |
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= |
30100×37001 |
Convert to fraction form |
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= |
301×371 |
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= |
11101 |
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= |
$1110 |
Next, use the formula to get the new amount
newamount |
= |
original−decrease |
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= |
3700-1110 |
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= |
$2590 |
The new price of the motorcycle with a 30% discount is $2590
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Question 4 of 4
Last year, the price of a luxury car was $61,750. If there is a 9.5% increase on its price this year, what will the luxury car’s new price be?
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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.
Method One
First, solve for 9.5% of the original amount, $61,750. Use decimals for easier computation.
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9.5%×61,750 |
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= |
9.5100×61,7501 |
Convert to fraction form |
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= |
586,625100 |
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= |
$5866.25 |
Move the decimal point two places to the left |
Next, use the formula to get the new amount
newamount |
= |
original+increase |
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= |
61,750+5866.25 |
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= |
67,616.25 |
The new price of the luxury car with a 9.5% price increase is $67,616.25
Method Two
Find the percentage of the new amount by adding the sales tax, 9.5%, to 100%
Next, compute for 109.5% of the original price. Use decimals for easier computation.
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109.5%×61,750 |
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= |
109.5100×61,750 |
Convert percentage to fraction |
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= |
1.095×61,750 |
Convert fraction to decimal |
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= |
67,616.25 |
The new price of the luxury car with a 9.5% price increase is $67,616.25