Difference between revisions of "1980 AHSME Problems/Problem 15"
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== Solution == | == Solution == | ||
| − | <math>\fbox{}</math> | + | 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 14:18, 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 
dollars where is a positive integer. The smallest value of is
Solution
Since when the sales tax is calculated, it as to be an integer, that means that 
has to be an integer. The smallest positive non zero number that this can is occur is 
See also
| 1980 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Problem 16 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
