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Anne bought a computer for $2,000 and then paid a 5 [#permalink]

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23 Jul 2015, 03:10

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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?

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
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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%

Hi, the straight method would be= (2100-2016)/2100*100=4%..

I also tried to come up with the answer before doing the calculation and landed up with correct answer.. the reasoning was the two amounts are both mutiples of 16 .. 2*1000 and 18*12*100 and the subtraction of the two should also be multiple of 16.. however the denominator is multiple of 4.. 2100, so the answer should be multiple of 4... only 4 and 12 are there.. however one of the number is multiple of 3 and other 9, so their subtraction should be multiple of 3 and 2100 is also multiple of 3... therefore the answer will not be multiple of 3.. only 4 left ans B
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Anne bought a computer for $2,000 and then paid a 5 [#permalink]

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05 Sep 2016, 11:50

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.

Re: Anne bought a computer for $2,000 and then paid a 5 [#permalink]

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15 Dec 2017, 05:38

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