Difference between revisions of "1980 AHSME Problems/Problem 15"

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== Solution ==
 
== Solution ==
<math>\fbox{}</math>
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Since when the sales tax is calculated, it as to be an integer, that means that <math>\frac{1}{25}n</math> has to be an integer. The smallest positive non zero number that this can is occur is  <math>\fbox{\text{(C)25}}</math>
  
 
== See also ==
 
== See also ==

Revision as of 15:18, 23 June 2016

Problem

A store prices an item in dollars and cents so that when 4% sales tax is added, no rounding is necessary because the result is exactly $n$ dollars where $n$ is a positive integer. The smallest value of $n$ is

$\text{(A)} \ 1 \qquad \text{(B)} \ 13 \qquad \text{(C)} \ 25 \qquad \text{(D)} \ 26 \qquad \text{(E)} \ 100$


Solution

Since when the sales tax is calculated, it as to be an integer, that means that $\frac{1}{25}n$ has to be an integer. The smallest positive non zero number that this can is occur is $\fbox{\text{(C)25}}$

See also

1980 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Problem 16
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