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

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== 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 percent </math>. Over the
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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
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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
 
cost <math> 40 </math> dollars on Thursday?
 
cost <math> 40 </math> dollars on Thursday?
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== Solution ==
 
== Solution ==
 
On Friday, the shoes would cost <math> 40 \cdot 1.1= 44 </math> dollars. Then on Monday, the shoes would cost <math> 44- \frac{44}{10}=44-4.4=\boxed{\textbf{(B)}\ 39.60} </math>.
 
On Friday, the shoes would cost <math> 40 \cdot 1.1= 44 </math> dollars. Then on Monday, the shoes would cost <math> 44- \frac{44}{10}=44-4.4=\boxed{\textbf{(B)}\ 39.60} </math>.
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== Video Solution ==
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https://youtu.be/Jh3RJces0CI Soo, DRMS, NM
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2003|num-b=10|num-a=12}}
 
{{AMC8 box|year=2003|num-b=10|num-a=12}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Latest revision as of 22:19, 1 May 2022

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 $44- \frac{44}{10}=44-4.4=\boxed{\textbf{(B)}\ 39.60}$.

Video Solution

https://youtu.be/Jh3RJces0CI Soo, DRMS, NM

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

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