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Difficulty:   5% (low)

Question Stats: 85% (02:10) correct 15% (02:33) wrong based on 178 sessions

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Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for$1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?

A. 3%

B. 4%

C. 7%

D.10%

E. 12%
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Anne bought a computer for $2,000 and then paid a 5 [#permalink] ### Show Tags 2 AbdurRakib wrote: Anne bought a computer for$2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax? A. 3% B. 4% C. 7% D.10% E. 12% For Anne Cost of Computer =$2000
Sales tax = (5/100)*2000 = $100 Total Cost of Computer = 2000 + 100 = 2100 For Henry Cost of Computer =$1800
Sales tax = (12/100)*1800 = $216 Total Cost of Computer = 1800 + 216 = 2016 % that Henry paid less than Anne = (2100 - 2016)*100/2100 = 4% Answer: Option B _________________ Prepare with PERFECTION to claim Q≥50 and V≥40 !!! GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha) e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772 One-on-One Skype classes l Classroom Coaching l On-demand Quant course l Admissions Consulting Most affordable l Comprehensive l 2000+ Qn ALL with Video explanations l LINK: Courses and Pricing Click for FREE Demo on VERBAL & QUANT Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l FREE GMAT Resource: 22 FREE (FULL LENGTH) GMAT CATs LINKS l NEW OG QUANT 50 Qn+VIDEO Sol. Senior Manager  B Joined: 28 Jun 2015 Posts: 272 Concentration: Finance GPA: 3.5 Re: Anne bought a computer for$2,000 and then paid a 5  [#permalink]

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Total amount paid by Anne = $$2,000 + 0.05 (2,000) = 2,100$$.
Total amount paid by Henry = $$1,800 + 0.12 (1,800) = 2,016$$.

$$\frac{2,100 - 2,016}{2,100} * 100 = 4%$$. Ans (B).
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A slightly different approach:

Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for$1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?

Anne's computer cost $2,000 x 1.05 =$2100
Henry's computer cost $1,800 x 1.12 =$2016
A difference of $84 Henry paid x percent less than Anne paid: x =$84/$2100, x = 0.04 = 4% Notes: Define percent: parts of one hundred.$1 = 1 part of $100, or 1/100 or 0.01;$50 = 50 parts of $100, or 50/100 = 1/2 or 0.5;$100 = 100 parts of one hundred, or one one hundreds, or 100/100 or 1 or 1.00; $2000 = 20 one hundreds. Therefore, 5% sales tax on a$2000 computer is $20 X 5 =$100 sales tax, Anne paid $2100 total. Method: Divide dollars by 100 and multiply percentage decimal values by 100 when working with dollar values and percentages. Much easier to work with. 12% sales tax on a$1800 computer is $18 X 12 =$216 sales tax, total costs Henry paid $2016. Difference:$2100
-$2016 ______$ 84

Percent equals parts over sum. $84/$2100 = 0.04 percent.
Sanity Check: 4% x 25 = 100. 84 x 25 = 2100.
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AbdurRakib wrote:
Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for$1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?

A. 3%

B. 4%

C. 7%

D.10%

E. 12%

Anne paid 2000 x 1.05 = 2100 for her computer.

Henry paid 1800 x 1.12 = 2016 for his computer.

Now, we can determine the percent less:

(2016 - 2100)/2100 x 100 ≈ -4% or 4% less.

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See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews Re: Anne bought a computer for $2,000 and then paid a 5 [#permalink] 15 Oct 2019, 18:54 # Anne bought a computer for$2,000 and then paid a 5  