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:
- Computed 5% of gross income
- Rounded the result DOWN to nearest $100
- 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!