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 | + | 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 last 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 15:46, 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 last 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 |
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