1996 AJHSME Problems/Problem 18

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Problem

Ana's monthly salary was <dollar/>2000 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

$\text{(A)}\ 1920\text{ dollars} \qquad \text{(B)}\ 1980\text{ dollars} \qquad \text{(C)}\ 2000\text{ dollars} \qquad \text{(D)}\ 2020\text{ dollars} \qquad \text{(E)}\ 2040\text{ dollars}$

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
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All AJHSME/AMC 8 Problems and Solutions