To determine her state income tax last year, Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100, and subtracted $50 for each dependent that she claimed. If Elena's gross income was $34,500 and she claimed 2 dependents, how much did she determine her state income tax to be?
A. $1,600
B. $1,625
C. $1,650
D. $1,675
E. $1,700
OA A
Source: GMAT Prep
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To determine her state income tax last year, Elena computed 5 percent of her gross income, rounded the resulting figure
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Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100....BTGmoderatorDC wrote: ↑Sun Sep 11, 2022 5:56 amTo determine her state income tax last year, Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100, and subtracted $50 for each dependent that she claimed. If Elena's gross income was $34,500 and she claimed 2 dependents, how much did she determine her state income tax to be?
A. $1,600
B. $1,625
C. $1,650
D. $1,675
E. $1,700
OA A
Source: GMAT Prep
10% of $34,500 = $3450
So, 5% of $34,500 = $1725
Rounded DOWN to the nearest $100, $1725 becomes $1700
... and subtracted $50 for each dependent that she claimed.
Elena has 2 dependents
So, we subtract a total of $100
$1700 - $100 = $1600
Answer: A
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Solution:BTGmoderatorDC wrote: ↑Sun Sep 11, 2022 5:56 amTo determine her state income tax last year, Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100, and subtracted $50 for each dependent that she claimed. If Elena's gross income was $34,500 and she claimed 2 dependents, how much did she determine her state income tax to be?
A. $1,600
B. $1,625
C. $1,650
D. $1,675
E. $1,700
OA A
Source: GMAT Prep
First of all, 5% of $34,500 is 34,500 x 0.05 = $1,725. Rounded down to the nearest $100 yields $1,700. Finally, because she has 2 dependents, she can deduct 50 x 2 = $100. Therefore, her state income tax is 1,700 - 100 = $1,600.
Answer: A
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