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A certain state has a sales tax of 5 percent on the portion of

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A certain state has a sales tax of 5 percent on the portion of [#permalink] New post   18 Dec 2018, 06:02
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A certain state has a sales tax of 5 percent on the portion of a purchase price that is greater than $200. If a customer paid $830 on a laptop, including tax, what was the purchase price of the laptop?

(A) $720

(B) $750

(C) $780

(D) $800

(E) $810
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D
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Re: A certain state has a sales tax of 5 percent on the portion of [#permalink] New post   18 Dec 2018, 08:14
rohan2345 wrote:
A certain state has a sales tax of 5 percent on the portion of a purchase price that is greater than $200. If a customer paid $830 on a laptop, including tax, what was the purchase price of the laptop?

(A) $720

(B) $750

(C) $780

(D) $800

(E) $810


Check using the options...

( 800 - 200)*5% + 800 = 830

Or, \(\frac{600*5}{100} + 800 = 830\), Thus Answer must be (D)
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Re: A certain state has a sales tax of 5 percent on the portion of [#permalink] New post   21 Oct 2020, 06:13
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Let the price of the laptop = x

The taxable amount would be x - 200

Then x + 5% of (x - 200) = 830

x + 0.05x - 10 = 830

1.05x = 840

x = \(\frac{840}{1.05} = 800\)



Option D

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Re: A certain state has a sales tax of 5 percent on the portion of [#permalink] New post   21 Oct 2020, 07:15
Price paid after tax= 830$,
Amount that is exempted from sales tax is 200$,
Therefore, amount with tax included = 630$,
\(\frac{630*100}{150}\) = 600,
therefore, the price of the commodity without sales tax included is $600+$200 = $800,
Which is option D.

Therefore, the OA is option D.
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Re: A certain state has a sales tax of 5 percent on the portion of [#permalink] New post   21 Oct 2020, 07:19
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Sales tax of 5 percent [purchase price >$200]

The customer paid $830 on a laptop, including tax: $200 + $ 630 (Taxed amount)

=> Original amount * \(\frac{105 }{ 100}\) = 630

=> Original amount: \(\frac{(630 * 100) }{ 105}\) = 600

Purchase price: 200 + 600 = 800

Answer D
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Re: A certain state has a sales tax of 5 percent on the portion of [#permalink] New post   08 Jan 2021, 13:13
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rohan2345 wrote:
A certain state has a sales tax of 5 percent on the portion of a purchase price that is greater than $200. If a customer paid $830 on a laptop, including tax, what was the purchase price of the laptop?

(A) $720

(B) $750

(C) $780

(D) $800

(E) $810


The customer needs to pay tax for $830-$200=$630

Price without tax \(=\frac{100}{105}*630=600\)

Total Price before tax =600+200=$800

The answer is D
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Re: A certain state has a sales tax of 5 percent on the portion of [#permalink] New post   16 Mar 2024, 14:34
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Re: A certain state has a sales tax of 5 percent on the portion of [#permalink]
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