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Alex paid a $12 fee to receive a 10% discount off of the list price on
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05 Apr 2021, 07:34
05 Apr 2021, 07:34
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Question Stats:
84% (01:43) correct
15% (02:26) wrong based on 26 sessions
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Alex paid a $12 fee to receive a 10% discount off of the list price on all books he bought in a six-month period. Victor paid a $15 fee to receive a 15% discount off of the list price on all books he bought in the same period. If each bought books with a total list price of b during that period and each paid the same net amount, including the discount and the fee, what is b ?
A. $54
B. $60
C. $66
D. $100
E. $120
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. $54
B. $60
C. $66
D. $100
E. $120
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
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Re: Alex paid a $12 fee to receive a 10% discount off of the list price on
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05 Apr 2021, 07:47
05 Apr 2021, 07:47
2
Carcass wrote:
Alex paid a $12 fee to receive a 10% discount off of the list price on all books he bought in a six-month period. Victor paid a $15 fee to receive a 15% discount off of the list price on all books he bought in the same period. If each bought books with a total list price of b during that period and each paid the same net amount, including the discount and the fee, what is b ?
A. $54
B. $60
C. $66
D. $100
E. $120
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. $54
B. $60
C. $66
D. $100
E. $120
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
IMPORTANT:
If Alex received a 10% discount, then Alex PAID 90% of the cost of the books
If Victor received a 15% discount, then Victor PAID 85% of the cost of the books
Start with a word equation
Total amount Alex paid = Total amount Victor paid
We get: $12 + 90% of b = $15 + 85% of b
Rewrite as: $12 + (0.9)(b) = $15 + (0.85)(b)
Eliminate decimals by multiplying both sides by 100 to get: 1200 + 90b = 1500 + 85b
Subtract 1200 from both sides: 90b = 300 + 85b
Subtract 85b from both sides: 5b = 300
Solve: b = 60
Answer: B
Cheers,
Brent
Re: Alex paid a $12 fee to receive a 10% discount off of the list price on
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27 Apr 2023, 02:00
27 Apr 2023, 02:00
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