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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>.
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Therefore, the worker would have to get a <math>\fbox{{\bf(B)} 25\%}</math> raise to acquire his original pay.
 
Therefore, the worker would have to get a <math>\fbox{{\bf(B)} 25\%}</math> raise to acquire his original pay.
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Solution by awesomechoco
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== See Also ==
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{{AHSME box|year=1955|num-b=6|num-a=8}}
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{{MAA Notice}}

Latest revision as of 22:17, 9 July 2018

Problem

If a worker receives a $20$% cut in wages, he may regain his original pay exactly by obtaining a raise of:

$\textbf{(A)}\ \text{20\%}\qquad\textbf{(B)}\ \text{25\%}\qquad\textbf{(C)}\ 22\frac{1}{2}\text{\%}\qquad\textbf{(D)}\ \textdollar{20}\qquad\textbf{(E)}\ \textdollar{25}$

Solution

Since the worker receives a $20$% cut in wages, his present wage would be $\frac{4}{5}$ of the original wage before the cut. To regain his original pay he would have to obtain a raise of $1$ $\div$ $\frac{4}{5}$ = $1$$\frac{1}{4}$.

Therefore, the worker would have to get a $\fbox{{\bf(B)} 25\%}$ 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


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