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Connie paid a sales tax of 8 percent on her purchase. If the sales tax

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Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post Updated on: 16 Aug 2015, 10:15
7
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A
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D
E

Difficulty:

  45% (medium)

Question Stats:

65% (01:12) correct 35% (01:06) wrong based on 352 sessions

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Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?

A. $368
B. $380
C. $400
D. $420
E. $432

Originally posted by RyanDe680 on 09 May 2008, 18:58.
Last edited by Bunuel on 16 Aug 2015, 10:15, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post 09 May 2008, 19:00
7
1
E

3% = $12
1% = $4

100% = $400

8% = $32

400 + 32 = 432
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post 09 May 2008, 19:03
1
P*1.08=T1
P*1.05=T2=T1-12

combine eqns
p(.03)=12
12/.03=400

400*1.08=432
E
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post 09 May 2008, 21:11
1
gmatnub wrote:
E

3% = $12
1% = $4

100% = $400

8% = $32

400 + 32 = 432


I like this approach :)
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post 09 May 2008, 21:21
jimmylow wrote:
gmatnub wrote:
E

3% = $12
1% = $4

100% = $400

8% = $32

400 + 32 = 432


I like this approach :)


Me too, but seem risky for me!I am not an expert, usually confused and make a silly mistake! :lol:
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post Updated on: 11 Dec 2011, 11:43
1
1
RyanDe680 wrote:
Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?

A) $368

B) $380

C) $400

D) $420

E) $432


OA to follow.


Connie paid x dollar before sales tax
so,
1.08x - 1.05x = 12
0.03x = 12
x = 400
sales tax 400*8% = 32
Connie paid = 400+32= $432
Ans. E
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Originally posted by Baten80 on 04 Dec 2011, 11:43.
Last edited by Baten80 on 11 Dec 2011, 11:43, edited 1 time in total.
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post 05 Dec 2011, 09:04
1
Hi Baten, I did your way. But I only subtracted and not added. the shortcut shown is great. But I am not sure if % can be worked that ways always.
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post 06 Dec 2016, 21:04
0.08P=C
0.05P=C-12

0.05P=0.08P-12
12=0.03P
P=400

0.05x400=32

400+32=432

E.
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax  [#permalink]

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New post 14 Jul 2018, 05:36
First we need to make a valid equation. Let's assign the constant sale price with a variable x. We should bring two cases -- case 1st with the 8% and case 2nd with the 5% into equilibrium. So we have x+x(0.08) =x+x(0.05)+12. We need to add 12 to the 2nd case to maintain the equation. After solving the equation, we get that x equals to 400. But be CAREFUL and do not jump into the answer choices. I will advise everyone to reread the problem after relatively completing it. In the last step, we need to add 32 (which is the 8% of the 400) to 400 to get the satisfying answer.
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Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax &nbs [#permalink] 14 Jul 2018, 05:36
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