Difference between revisions of "1955 AHSME Problems/Problem 7"
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==Solution== | ==Solution== | ||
Since the worker receives a <math>20</math>% cut in wages, his present wage would be <math>\frac{4}{5}</math> of the original wage before the cut. To regain his original pay he would have to obtain a raise of <math>1</math> <math>\div</math> <math>\frac{4}{5}</math> = <math>1</math><math>\frac{1}{4}</math>. | Since the worker receives a <math>20</math>% cut in wages, his present wage would be <math>\frac{4}{5}</math> of the original wage before the cut. To regain his original pay he would have to obtain a raise of <math>1</math> <math>\div</math> <math>\frac{4}{5}</math> = <math>1</math><math>\frac{1}{4}</math>. | ||
| − | Therefore, the worker would have to get a <math>\fbox{{\bf(B)} 25\%}</math> raise. | + | |
| + | Therefore, the worker would have to get a <math>\fbox{{\bf(B)} 25\%}</math> raise to acquire his original pay. | ||
| + | |||
| + | Solution by awesomechoco | ||
| + | |||
| + | == See Also == | ||
| + | {{AHSME box|year=1955|num-b=6|num-a=8}} | ||
| + | |||
| + | {{MAA Notice}} | ||
Latest revision as of 22:17, 9 July 2018
Problem
If a worker receives a 
% cut in wages, he may regain his original pay exactly by obtaining a raise of:
Solution
Since the worker receives a % cut in wages, his present wage would be 
of the original wage before the cut. To regain his original pay he would have to obtain a raise of 
= 
.
Therefore, the worker would have to get a 
raise to acquire his original pay.
Solution by awesomechoco
See Also
| 1955 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 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. 
