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

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Math Expert
Joined: 02 Sep 2009
Posts: 54370
A certain state has a sales tax of 5 percent on the portion of a purch  [#permalink]

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28 Jun 2017, 01:59
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5% (low)

Question Stats:

89% (01:09) correct 11% (01:55) wrong based on 49 sessions

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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 $100. If a customer paid a sales tax of$4 on a particular item, what was the purchase price of the item?

(A) $120 (B)$124
(C) $180 (D)$184
(E) $220 _________________ Intern Joined: 30 May 2013 Posts: 29 GMAT 1: 600 Q50 V21 GMAT 2: 640 Q49 V29 Re: A certain state has a sales tax of 5 percent on the portion of a purch [#permalink] ### Show Tags 28 Jun 2017, 02:10 (C) 180 As 5% of 80 is 4 100+80 =180 Sent from my GT-N7100 using GMAT Club Forum mobile app Director Joined: 04 Dec 2015 Posts: 750 Location: India Concentration: Technology, Strategy Schools: ISB '19, IIMA , IIMB, XLRI WE: Information Technology (Consulting) Re: A certain state has a sales tax of 5 percent on the portion of a purch [#permalink] ### Show Tags 28 Jun 2017, 02:24 Bunuel wrote: A certain state has a sales tax of 5 percent on the portion of a purchase price that is greater than$100. If a customer paid a sales tax of $4 on a particular item, what was the purchase price of the item? (A)$120
(B) $124 (C)$180
(D) $184 (E)$220

Let the price of item that is greater than $$100$$ be $$x$$.

$$5$$% sales tax on portion greater than $$100 = 5$$% of $$x$$.

$$4 = \frac{5}{100} x$$

$$x = \frac{4*100}{5} = 80$$

Therefore purchase price of item $$= 100 + 80 = 180$$. Answer (C)...
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Joined: 22 May 2016
Posts: 2636
A certain state has a sales tax of 5 percent on the portion of a purch  [#permalink]

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11 Jul 2017, 14:59
Bunuel wrote:
A certain state has a sales tax of 5 percent on the portion of a purchase price that is greater than $100. If a customer paid a sales tax of$4 on a particular item, what was the purchase price of the item?

(A) $120 (B)$124
(C) $180 (D)$184
(E) $220 Let x = purchase price of item There is a 5 percent sales tax on the portion of x that is greater than$100, and a customer paid sales tax of \$4 on an item:

.05(x-100) = 4

.05x - 5 = 4

.05x = 9

x = 180

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A certain state has a sales tax of 5 percent on the portion of a purch   [#permalink] 11 Jul 2017, 14:59
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