Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 6"
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Let <math>p=10</math>. Thus if <math>100</math> dollars was the original price, after the price reduction, we have <math>90</math> dollars. We need <math>10</math> dollars. Thus, <math>90(1+x)=100 \Longrightarrow x=\frac{10}{90}</math>. The percentage thus is choice <math>(e)</math>. | Let <math>p=10</math>. Thus if <math>100</math> dollars was the original price, after the price reduction, we have <math>90</math> dollars. We need <math>10</math> dollars. Thus, <math>90(1+x)=100 \Longrightarrow x=\frac{10}{90}</math>. The percentage thus is choice <math>(e)</math>. | ||
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
Revision as of 12:28, 23 July 2006
Problem
After a $p%$ (Error compiling LaTeX. Unknown error_msg) price reduction, what increase does it take to restore the original price?
Solution
Let 
. Thus if 
dollars was the original price, after the price reduction, we have 
dollars. We need 
dollars. Thus, 
. The percentage thus is choice 
.
