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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Connie paid a sales tax of 8 percent on her purchase. If the sales tax
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15 Dec 2022, 00:10
15 Dec 2022, 00:10
1
Expert Reply
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Question Stats:
33% (00:31) correct
66% (01:23) wrong based on 3 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
A. $368
B. $380
C. $400
D. $420
E. $432
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax
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15 Dec 2022, 05:25
15 Dec 2022, 05:25
Expert Reply
P*1.08=T1
P*1.05=T2=T1-12
combine eqns
p(.03)=12
12/.03=400
400*1.08=432
E
P*1.05=T2=T1-12
combine eqns
p(.03)=12
12/.03=400
400*1.08=432
E
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax
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15 Dec 2022, 06:26
15 Dec 2022, 06:26
1
GeminiHeat 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
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
Answer: E
