Difference between revisions of "1994 AJHSME Problems/Problem 9"

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<math>\text{(A)}\ \text{81.00 dollars} \qquad \text{(B)}\ \text{81.40 dollars} \qquad \text{(C)}\ \text{82.00 dollars} \qquad \text{(D)}\ \text{82.08 dollars} \qquad \text{(E)}\ \text{82.40 dollars}</math>
 
<math>\text{(A)}\ \text{81.00 dollars} \qquad \text{(B)}\ \text{81.40 dollars} \qquad \text{(C)}\ \text{82.00 dollars} \qquad \text{(D)}\ \text{82.08 dollars} \qquad \text{(E)}\ \text{82.40 dollars}</math>
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==Solution==
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After the <math>20\%</math> sale, the coat costs <math>100(0.8)=80</math> dollars. Then <math>5</math> dollars are taken off for a cost of <math>80-5=75</math>. Adding on the sales tax, the final amount is <math>(75)(1.08)=\boxed{\text{(A)}\ 81.00\ \text{dollars}}</math>.
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==See Also==
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{{AJHSME box|year=1994|num-b=8|num-a=10}}

Revision as of 00:26, 23 December 2012

Problem

A shopper buys a $100$ dollar coat on sale for $20\%$ off. An additional $5$ dollars are taken off the sale price by using a discount coupon. A sales tax of $8\%$ is paid on the final selling price. The total amount the shopper pays for the coat is

$\text{(A)}\ \text{81.00 dollars} \qquad \text{(B)}\ \text{81.40 dollars} \qquad \text{(C)}\ \text{82.00 dollars} \qquad \text{(D)}\ \text{82.08 dollars} \qquad \text{(E)}\ \text{82.40 dollars}$

Solution

After the $20\%$ sale, the coat costs $100(0.8)=80$ dollars. Then $5$ dollars are taken off for a cost of $80-5=75$. Adding on the sales tax, the final amount is $(75)(1.08)=\boxed{\text{(A)}\ 81.00\ \text{dollars}}$.

See Also

1994 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
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