Difference between revisions of "1985 AJHSME Problems/Problem 21"
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==Solution== | ==Solution== | ||
| − | Assume his salary is <math>100</math> dollars. Then in the next year, he would have <math>110</math> dollars, and in the next he would have <math>121</math> dollars. The next year he would have <math>133.1</math> dollars and in the | + | Assume his salary is <math>100</math> dollars. Then in the next year, he would have <math>110</math> dollars, and in the next he would have <math>121</math> dollars. The next year he would have <math>133.1</math> dollars and in the final year, he would have <math>146.41</math>. As the total increase is greater than <math>45\%</math>, the answer is <math>\boxed{\text{E}}</math> |
Note that we could have generalized this for any integer <math>n</math>. | Note that we could have generalized this for any integer <math>n</math>. | ||
Revision as of 14:46, 26 November 2016
Problem
Mr. Green receives a 
raise every year. His salary after four such raises has gone up by what percent?
Solution
Assume his salary is 
dollars. Then in the next year, he would have 
dollars, and in the next he would have 
dollars. The next year he would have 
dollars and in the final year, he would have 
. As the total increase is greater than 
, the answer is 
Note that we could have generalized this for any integer 
.
See Also
| 1985 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
