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Alex paid a $12 fee to receive a 10% discount off of the list price on

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SVP
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Status: Preparing for the GMAT
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Alex paid a $12 fee to receive a 10% discount off of the list price on  [#permalink]

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New post 14 Apr 2017, 12:38
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Difficulty:

  25% (medium)

Question Stats:

79% (01:31) correct 21% (01:33) wrong based on 57 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

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Re: Alex paid a $12 fee to receive a 10% discount off of the list price on  [#permalink]

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New post 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]

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New post 04 Mar 2018, 13:04
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

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

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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 &nbs [#permalink] 04 Mar 2018, 13:04
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