Last visit was: 14 Sep 2024, 20:25 It is currently 14 Sep 2024, 20:25
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

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

SORT BY:
Tags:
Show Tags
Hide Tags
Manager
Joined: 27 Jun 2007
Posts: 103
Own Kudos [?]: 342 [31]
Given Kudos: 0
Senior Manager
Joined: 23 Sep 2007
Posts: 394
Own Kudos [?]: 1545 [17]
Given Kudos: 0
Director
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 953
Own Kudos [?]: 5077 [6]
Given Kudos: 690
Concentration: Accounting
General Discussion
Manager
Joined: 16 Sep 2007
Posts: 103
Own Kudos [?]: 23 [3]
Given Kudos: 0
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
3
Kudos
P*1.08=T1
P*1.05=T2=T1-12

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

400*1.08=432
E
Senior Manager
Joined: 23 Mar 2011
Posts: 365
Own Kudos [?]: 642 [1]
Given Kudos: 59
Location: India
GPA: 2.5
WE:Operations (Hospitality and Tourism)
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
1
Bookmarks
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.
Senior Manager
Joined: 05 Sep 2016
Status:DONE!
Posts: 268
Own Kudos [?]: 105 [1]
Given Kudos: 283
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
1
Bookmarks
0.08P=C
0.05P=C-12

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

0.05x400=32

400+32=432

E.
Intern
Joined: 04 Aug 2017
Status:No Progress without Struggle
Posts: 40
Own Kudos [?]: 17 [0]
Given Kudos: 108
Location: Armenia
GPA: 3.4
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
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.
Manager
Joined: 03 Sep 2018
Posts: 173
Own Kudos [?]: 94 [0]
Given Kudos: 924
Location: Netherlands
GPA: 4
Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
$$x+\frac{(2x)}{25}=A$$

$$x+(\frac{x}{20})=A-12$$

$$x+\frac{(2x)}{25}=432$$

EDIT (13/11/2019): Even easier way

$$\frac{3}{100}x=12 \implies x+\frac{8}{100}x=432$$

Originally posted by SchruteDwight on 21 Aug 2019, 03:08.
Last edited by SchruteDwight on 13 Nov 2019, 07:40, edited 3 times in total.
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19460
Own Kudos [?]: 23246 [1]
Given Kudos: 286
Location: United States (CA)
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
1
Bookmarks
RyanDe680
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

Let’s let n = the selling price of the item before tax. Thus, the total sales tax with a tax rate of 8 percent would be 0.08n, and the sales tax with a tax rate of 5 percent would be 0.05n. We are given that the difference in the two sales tax amounts is $12. Thus, we can create the equation: 0.08n - 0.05n = 12 0.03n = 12 n = 400 So the total amount paid was 1.08 x 400 = 432 dollars. Answer: E Current Student Joined: 04 Dec 2020 Posts: 25 Own Kudos [?]: 3 [1] Given Kudos: 75 Location: Viet Nam Concentration: Operations, Technology GPA: 3.3 WE:Sales (Manufacturing) Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink] 1 Bookmarks Sales-------------Tax------------------Sales and Tax x---------------- 0.08x------------------1.08x x---------------- 0.05x------------------1.05x 1.08x - 1.05x = 12 => x = 400 => Total = 1.08x 400 = 400+400x 0.08= 432 GMAT Club Legend Joined: 12 Sep 2015 Posts: 6803 Own Kudos [?]: 31322 [1] Given Kudos: 799 Location: Canada Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink] 1 Bookmarks Expert Reply Top Contributor RyanDe680 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 Let's start with the following word equation: (total cost including 8% tax) - (total cost including 5% tax) =$12

Let x = the cost of the purchase (without tax)

So we can write: (x + 8% of x) - (x + 5% of x) = $12 In other words: (x + 0.08x) - (x + 0.05x) =$12
Simplify: 0.03x = 12
Solve: x = 12/0.03 = 1200/3 = 400

So, the cost of the purchase (without tax) is $400 So, the total amount Connie paid =$400 + (8% of $400) =$432

GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4914
Own Kudos [?]: 7918 [1]
Given Kudos: 221
Location: India
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
1
Kudos
Top Contributor
Let the Selling price of the product = S.P

Amount paid including the sales tax of 8 % = 108% of SP

It's given that if the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. i.e 108 % of SP - 105% of SP = 12 3% of SP = 12 We need to find amount paid including the sales tax i.e 108 % of SP = $$\frac{12}{3} * 108$$ = 432$

Thanks,
Clifin J Francis.
Manager
Joined: 20 Mar 2019
Posts: 144
Own Kudos [?]: 16 [0]
Given Kudos: 282
Location: India
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
My 2 cents on this:

I equated as follows:

Total purchase = x

0.05x = 0.08x - 12

x = 400.

Question asks for total purchase cost + sales tax, so 400 + 8% of 400 = 432
Non-Human User
Joined: 09 Sep 2013
Posts: 34846
Own Kudos [?]: 878 [0]
Given Kudos: 0
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax [#permalink]
Moderator:
Math Expert
95507 posts