Difference between revisions of "1999 AHSME Problems/Problem 5"
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The marked price of a book was 30% less than the suggested retail price. Alice purchased the book for half the marked price at a Fiftieth Anniversary sale. What percent of the suggested retail price did Alice pay? | The marked price of a book was 30% less than the suggested retail price. Alice purchased the book for half the marked price at a Fiftieth Anniversary sale. What percent of the suggested retail price did Alice pay? | ||
| − | + | <math> \mathrm{(A)\ }25\%\qquad\mathrm{(B)\ }30\%\qquad\mathrm{(C)\ }35\%\qquad\mathrm{(D)\ }60\%\qquad\mathrm{(E)\ }65\% </math> | |
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| − | + | ==Solution== | |
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| − | + | Without loss of generality, let's assume that the retail price was <math>100</math> USD. | |
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| + | <math>30\%</math> off of <math>100</math> is equal to <math>100-100(0.3)=70</math> | ||
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| + | <math>\frac{70}{2}=35</math> | ||
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| + | <math>100-35=\boxed{65}</math> or <math>\boxed{E}</math> | ||
Revision as of 12:41, 8 June 2011
The marked price of a book was 30% less than the suggested retail price. Alice purchased the book for half the marked price at a Fiftieth Anniversary sale. What percent of the suggested retail price did Alice pay?
Solution
Without loss of generality, let's assume that the retail price was 
USD.
off of is equal to 
or 
