Difference between revisions of "1998 AJHSME Problems/Problem 9"

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<math>100\%-20\%=80\%</math>
 
<math>100\%-20\%=80\%</math>
  
<math>10\times80\%=</math>10\times0.8<math>
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<math>10\times80\%=10\times0.8</math>
  
</math>10\times0.8=8<math>
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<math>10\times0.8=8</math>
  
</math>\frac{8}{2}=4=\boxed{C}<math>
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<math>\frac{8}{2}=4=\boxed{C}</math>
  
 
==Solution 2==
 
==Solution 2==
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The first discount has percentage 20, which is then discounted again for half of the already discounted price.
 
The first discount has percentage 20, which is then discounted again for half of the already discounted price.
  
</math>100-20=80<math>
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<math>100-20=80</math>
  
</math>\frac{80}{2}=40<math>
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<math>\frac{80}{2}=40</math>
 
 
</math>40\%\times10=10\times0.4=4=\boxed{C}$
 
  
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<math>40\%\times10=10\times0.4=4=\boxed{C}</math>
  
 
== See also ==
 
== See also ==

Revision as of 23:45, 9 June 2011

Problem 9

For a sale, a store owner reduces the price of a <dollar/>10 scarf by $20\%$. Later the price is lowered again, this time by one-half the reduced price. The price is now

$\text{(A)}\ 2.00\text{ dollars} \qquad \text{(B)}\ 3.75\text{ dollars} \qquad \text{(C)}\ 4.00\text{ dollars} \qquad \text{(D)}\ 4.90\text{ dollars} \qquad \text{(E)}\ 6.40\text{ dollars}$

Solution 1

$100\%-20\%=80\%$

$10\times80\%=10\times0.8$

$10\times0.8=8$

$\frac{8}{2}=4=\boxed{C}$

Solution 2

The first discount has percentage 20, which is then discounted again for half of the already discounted price.

$100-20=80$

$\frac{80}{2}=40$

$40\%\times10=10\times0.4=4=\boxed{C}$

See also

1998 AJHSME (ProblemsAnswer KeyResources)
Preceded by
1997 AJHSME
Followed by
1999 AMC 8
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