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

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by BTGmoderatorDC » Sat Sep 01, 2018 11:16 pm
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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

OA B

Source: Princeton Review
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by Jay@ManhattanReview » Mon Sep 03, 2018 9:07 pm
BTGmoderatorDC 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

OA B

Source: Princeton Review
Amount paid by Alex = 12 + 90% of b = 12 + 0.90b
Amount paid by Victor = 15 + 85% of b = 15 + 0.85b

It is given that the amount paid by Alex equals the amount paid by Victor

Thus, 12 + 0.90b = 15 + 0.85b

=> b = $60.

The correct answer: B

Hope this helps!

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by Scott@TargetTestPrep » Tue Oct 02, 2018 6:26 pm
BTGmoderatorDC 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

Answer: B

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