Difference between revisions of "1996 AJHSME Problems/Problem 18"

m (Problem: Fixed dollar sign LaTeX in the first sentence, right before "2000".)
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==Problem==
 
==Problem==
  
Ana's monthly salary was <math>$2000</math> in May.  In June she received a 20% raise.  In July she received a 20% pay cut.  After the two changes in June and July, Ana's monthly salary was
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Ana's monthly salary was <math>$2000</math> in May.  In June she received a 10% raise.  In July she received a 20% pay cut.  After the two changes in June and July, Ana's monthly salary was
  
<math>\text{(A)}\ 1920\text{ dollars} \qquad \text{(B)}\ 1980\text{ dollars} \qquad \text{(C)}\ 2000\text{ dollars} \qquad \text{(D)}\ 2020\text{ dollars} \qquad \text{(E)}\ 2040\text{ dollars}</math>
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<math>\text{(A)}\ 1920\text{ dollars} \qquad \text{(B)}\ 1760\text{ dollars} \qquad \text{(C)}\ 2000\text{ dollars} \qquad \text{(D)}\ 2020\text{ dollars} \qquad \text{(E)}\ 2040\text{ dollars}</math>
  
 
==Solution==
 
==Solution==

Revision as of 21:00, 28 December 2021

Problem

Ana's monthly salary was $$2000$ in May. In June she received a 10% raise. In July she received a 20% pay cut. After the two changes in June and July, Ana's monthly salary was

$\text{(A)}\ 1920\text{ dollars} \qquad \text{(B)}\ 1760\text{ dollars} \qquad \text{(C)}\ 2000\text{ dollars} \qquad \text{(D)}\ 2020\text{ dollars} \qquad \text{(E)}\ 2040\text{ dollars}$

Solution

In June, Ana's pay is $2000 \cdot 1.2 = 2400$

In July, Ana's pay is $2400 \cdot 0.8 = 1920$, giving an answer of $\boxed{A}$

See Also

1996 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 17
Followed by
Problem 19
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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