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Bunuel
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

Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100....
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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Bunuel
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
Solution:

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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Hey, I did:
5% tax = 5/100*345 = 345*5

after dependents deduction= 345*5 - 100 = 1625

and then I rounded 1625 to the nearest dollar i.e. 1600

Is it okay to do the rounding off at the last step? Or, did it just work out in this scenario and might be incorrect in other problems?
BrentGMATPrepNow


Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100....
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

Cheers,
Brent
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AkiWho
Hey, I did:
5% tax = 5/100*345 = 345*5

after dependents deduction= 345*5 - 100 = 1625

and then I rounded 1625 to the nearest dollar i.e. 1600

Is it okay to do the rounding off at the last step? Or, did it just work out in this scenario and might be incorrect in other problems?

AkiWho

My two cents- While you arrived at the correct answer in this case, this was fortunate coincidence! If the numbers had been different, you would have gotten it wrong. Let me show you why:

The Correct Solution:

The problem states Elena's process in this specific order:
  1. Computed 5% of gross income
  2. Rounded the result DOWN to nearest $100
  3. THEN subtracted dependent deductions

Step 1:
Calculate 5% of gross income: \(0.05 \times 34,500 = 1,725\)
Step 2: Round DOWN to nearest $100: \(1,725\) rounded down → \(1,700\)
Step 3: Subtract dependent deductions: \(1,700 - (2 \times 50) = 1,700 - 100 = 1,600\)

Answer: A ($1,600)


What You Did Differently:
You calculated \(1,725 - 100 = 1,625\) first, then rounded to \(1,600\)

Why This Matters - A Quick Example:

Imagine if 5% had been $1,760:
  • Correct way: $1,760 → round to $1,700 → subtract $100 = $1,600
  • Your way: $1,760 - $100 = $1,660 → round to $1,700 (wrong!)

Strategic Takeaway for GMAT Success:
When the GMAT gives you a sequence of operations (especially with words like "then," "after," "next"), treat it like a recipe - follow the exact order given. The test-makers often design problems where changing the order produces a different (wrong) answer that appears in the choices.

Hope this helps!
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