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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]  07 Jan 2017, 07:13
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41% (01:43) correct 58% (01:32) wrong based on 12 sessions

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GRE - powerprep annual percent change in dollara amount of sales.jpg [ 31.38 KiB | Viewed 943 times ]

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

[Reveal] Spoiler: OA
108.7%

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Re: At store T, the dollar amount of sales for 2007 was what % t [#permalink]  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]  06 Nov 2017, 08:37
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Re: At store T, the dollar amount of sales for 2007 was what % t [#permalink]  06 Nov 2017, 08:42
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DylanJoyce wrote:

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

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

[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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