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Steve's property tax is $140 less than Patricia's property tax. If Ste

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Bunuel
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Steve's property tax is $140 less than Patricia's property tax. If Ste [#permalink] New post   12 Jul 2018, 01:30
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Steve's property tax is $140 less than Patricia's property tax. If Steve's property tax is $1,960, then Steve's property tax is what percent less than Patricia's property tax, to the nearest 0.1 percent?

A. 6.7%

B. 7.1%

C. 7.5%

D. 7.9%

E. 8.3%
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Steve's property tax is $140 less than Patricia's property tax. If Ste [#permalink] New post   12 Jul 2018, 02:39
Bunuel wrote:
Steve's property tax is $140 less than Patricia's property tax. If Steve's property tax is $1,960, then Steve's property tax is what percent less than Patricia's property tax, to the nearest 0.1 percent?

A. 6.7%

B. 7.1%

C. 7.5%

D. 7.9%

E. 8.3%


Given: Steve's property tax is $1960.

Let Patricia's property tax be \(P\). Now, Steve's property is $140
less than Patricia's property tax and is, therefore, \(P - $140\).

\(P - $140 = $1960\) -> \(P = $1960 + $140 = $2100\)

Therefore, Steve' property tax is \(\frac{$140}{$2100} * 100 =\) 6.7%(Option A) less than Patricia's property tax.
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Re: Steve's property tax is $140 less than Patricia's property tax. If Ste [#permalink] New post   12 Jul 2018, 03:06
Difference = $140
Steve's property tax is $1,960
Patricia's property tax = $1960 + $140 = $2100
% Compared to Patricia's tax = ($140/$2100) * 100 = (20/300)*100 = (1/15)*100 = 100/15 = 6.66
Nearest 0.1 Approximation = 6.7

Answer A
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Re: Steve's property tax is $140 less than Patricia's property tax. If Ste [#permalink] New post   12 Jul 2018, 16:24
Bunuel wrote:
Steve's property tax is $140 less than Patricia's property tax. If Steve's property tax is $1,960, then Steve's property tax is what percent less than Patricia's property tax, to the nearest 0.1 percent?

A. 6.7%

B. 7.1%

C. 7.5%

D. 7.9%

E. 8.3%



Given

Steven's tax = Patricia's tax - $140

$1960 + $140 = Patricia's tax

Patricia's tax = $2100

Required % = ($140 / $2100) * 100
= 6.7 %

It means that Steven's tax is 6.7 % less than Patricia's tax.

Option A is the best answer.
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Re: Steve's property tax is $140 less than Patricia's property tax. If Ste [#permalink]
12 Jul 2018, 16:24
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