Difference between revisions of "2003 AMC 8 Problems/Problem 11"

(Problem)
(Problem)
Line 1: Line 1:
 
== Problem ==
 
== Problem ==
 
Business is a little slow at Lou's Fine Shoes, so Lou decides to have a
 
Business is a little slow at Lou's Fine Shoes, so Lou decides to have a
sale. On Friday, Lou increases all of Thursday's prices by <math> 10 </math> <math> percent </math>. Over the
+
sale. On Friday, Lou increases all of Thursday's prices by <math> 10 </math> percent. Over the
 
weekend, Lou advertises the sale: Ten percent off the listed price. Sale
 
weekend, Lou advertises the sale: Ten percent off the listed price. Sale
 
starts Monday." How much does a pair of shoes cost on Monday that
 
starts Monday." How much does a pair of shoes cost on Monday that

Revision as of 23:14, 26 January 2015

Problem

Business is a little slow at Lou's Fine Shoes, so Lou decides to have a sale. On Friday, Lou increases all of Thursday's prices by $10$ percent. Over the weekend, Lou advertises the sale: Ten percent off the listed price. Sale starts Monday." How much does a pair of shoes cost on Monday that cost $40$ dollars on Thursday?

$\textbf{(A)}\ 36\qquad\textbf{(B)}\ 39.60\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}\ 40.40\qquad\textbf{(E)}\ 44$

Solution

On Friday, the shoes would cost $40 \cdot 1.1= 44$ dollars. Then on Monday, the shoes would cost $44- \frac{44}{10}=44-4.4=\boxed{\textbf{(B)}\ 39.60}$.

See Also

2003 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 10
Followed by
Problem 12
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
All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png