Difference between revisions of "1999 AHSME Problems/Problem 5"

Line 11: Line 11:
  
 
<math>100-35=\boxed{65}</math> or <math>\boxed{E}</math>
 
<math>100-35=\boxed{65}</math> or <math>\boxed{E}</math>
 +
 +
 +
==See Also==
 +
 +
{{AHSME box|year=1999|num-b=4|num-a=6}}

Revision as of 12:50, 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? $\mathrm{(A)\ }25\%\qquad\mathrm{(B)\ }30\%\qquad\mathrm{(C)\ }35\%\qquad\mathrm{(D)\ }60\%\qquad\mathrm{(E)\ }65\%$

Solution

Without loss of generality, let's assume that the retail price was $100$ USD.

$30\%$ off of $100$ is equal to $100-100(0.3)=70$

$\frac{70}{2}=35$

$100-35=\boxed{65}$ or $\boxed{E}$


See Also

1999 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions