1955 AHSME Problems/Problem 7: Difference between revisions
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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. | ||
Revision as of 04:44, 8 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.
