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At Store T, the dollar amount of sales for 2007 was what per [#permalink]
12 Sep 2017, 14:09
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64% (01:23) correct
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At Store T, the dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008 ? Give your answer to the nearest 0.1 percent. Practice Questions Question: 2 Page: 127 Difficulty: medium Disclaimer: the older version of this question is located here
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Re: At Store T, the dollar amount of sales for 2007 was what per [#permalink]
12 Sep 2017, 23:43
ExplanationIf A is the dollar amount of sales at Store T for 2007, then 8 percent of A, or is the amount of decrease from 2007 to 2008. Thus is 0.08A, A − 0.08A = 0.92A the dollar amount for 2008. Therefore, the desired percent can be obtained by dividing A by 0.92A which is \(\frac{A}{0.92A}\) = \(\frac{1}{0.92}\) = \(1.08 %\) = \(108.7 %\)
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Re: At Store T, the dollar amount of sales for 2007 was what per [#permalink]
09 Feb 2020, 04:23
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Notice that we don't need to know anything about the 2006 sales figures here. All we need to know is that from 2007 to 2008, the sales DECREASED 8% So, let's PLUG IN some nice values for 2007 and 2008 that meet this condition. How about: In 2007, total sales = $100 In 2008, total sales = $92As you can see, these figures show an 8% decrease from 2007 to 2008 Question: The dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008? In other words, $100 is what percent of $92? In other words, express 100/ 92 as a percent. Well, 100/ 92 = 1.08695... This equals 108.7% (rounded to the nearest tenth of a percent) Answer: Cheers, Brent
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Re: At Store T, the dollar amount of sales for 2007 was what per [#permalink]
09 Feb 2020, 10:44
The table tells us that the sales at store T DECREASED by 8% from 2007 to 2008. So, if A = the sales from 2007... ...then the sales from 2008 = A  8% 0f A = A  0.08A = 1A  0.08A = 0.92AThe question asks "The dollar amount of sales for 2007 is what % of the dollar amount of sales for 2008?"In other words, "A is what % of 0.92A?"Let x = the unknown percent So, we get: A = (x/100)(0.92A) Divide both sides by 0.92A to get: A/0.92A = x/100 Simplify left side to get: 1/0.92 = x/100 Multiply both sides by 100 to get: 100/0.92 = x Evaluate: x = 108.69% Round to nearest 0.1% to get: 108.7% Cheers, Brent
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Re: At Store T, the dollar amount of sales for 2007 was what per [#permalink]
09 Feb 2020, 10:50
ExplanationIf A is the dollar amount of sales at Store T for 2007, then 8 percent of A, or 0.08A is the amount of decrease from 2007 to 2008. Thus \(A  0.08A = 0.92A\) is the dollar amount for 2008. Therefore, the desired percent can be obtained by dividing A by 0.92A which equals The \(\frac{A}{0.92A}\), which equals \(\frac{1}{0.92}\), which equals 1.0869565... Expressed as a percent and rounded to the nearest 0.1 percent, this number is 108.7%. Thus, the correct answer is 108.7% (or equivalent).
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Re: At Store T, the dollar amount of sales for 2007 was what per [#permalink]
26 Mar 2020, 05:52
sandy wrote: Explanation
If A is the dollar amount of sales at Store T for 2007, then 8 percent of A, or 0.08A is the amount of decrease from 2007 to 2008.
Thus \(A  0.08A = 0.92A\) is the dollar amount for 2008.
Therefore, the desired percent can be obtained by dividing A by 0.92A which equals The \(\frac{A}{0.92A}\), which equals \(\frac{1}{0.92}\), which equals 1.0869565...
Expressed as a percent and rounded to the nearest 0.1 percent, this number is 108.7%.
Thus, the correct answer is 108.7% (or equivalent). Totally agree with you, man.





