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14 Apr 2017, 12:38
2
2
00:00

Difficulty:

25% (medium)

Question Stats:

80% (02:08) correct 20% (02:51) wrong based on 88 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 _________________ New Project RC Butler 2019 - Practice 2 RC Passages Everyday Final days of the GMAT Exam? => All GMAT Flashcards. This Post Helps = Press +1 Kudos Best of Luck on the GMAT!! Manager Joined: 05 Nov 2016 Posts: 87 Re: Alex paid a$12 fee to receive a 10% discount off of the list price on  [#permalink]

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14 Apr 2017, 15:37
1
12 +$$\frac{90*b}{100}$$ = 15 +$$\frac{85*b}{100}$$..(90% value was paid as discount is 10 %.. on similar lines 85%)
$$\frac{5b}{100}$$= 3
b = 60
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Re: Alex paid a $12 fee to receive a 10% discount off of the list price on [#permalink] Show Tags 04 Mar 2018, 13:04 1 Top Contributor SajjadAhmad 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

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

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

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Brent
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Re: Alex paid a $12 fee to receive a 10% discount off of the list price on [#permalink] Show Tags 02 Oct 2018, 19:30 SajjadAhmad 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

We can create the equation:

Alex’s total payment = Victor’s total payment

12 + 0.9b = 15 + 0.85b

0.05b = 3

b = 60

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