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At store T, the dollar amount of sales for 2007 was what % t

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At store T, the dollar amount of sales for 2007 was what % t [#permalink] New post 07 Jan 2017, 07:13
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36% (01:22) correct 63% (01:32) wrong based on 11 sessions


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At store T, the dollar amount of sales for 2007 was what % the dollar amount of sales for 2008 ?

Give your answer to the nearest 0.1%

[Reveal] Spoiler: OA
108.7%

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Re: At store T, the dollar amount of sales for 2007 was what % t [#permalink] New post 07 Jan 2017, 17:49
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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).
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Re: At store T, the dollar amount of sales for 2007 was what % t [#permalink] New post 06 Nov 2017, 08:37
The "reveal" answer is incorrect.
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Re: At store T, the dollar amount of sales for 2007 was what % t [#permalink] New post 06 Nov 2017, 08:42
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DylanJoyce wrote:
The "reveal" answer is incorrect.


Thanks fixed it!
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Re: At store T, the dollar amount of sales for 2007 was what % t [#permalink] New post 02 Jul 2018, 06:26
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Carcass wrote:


Image

At store T, the dollar amount of sales for 2007 was what % the dollar amount of sales for 2008 ?

Give your answer to the nearest 0.1%

[Reveal] Spoiler: OA
108.7%


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
= 0.92A

The 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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