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
Answer: B
Source: Princeton Review
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Alex paid a $12 fee to receive a 10% discount off of the list price on all
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BTGModeratorVI
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Jay@ManhattanReview
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For Alex, total bill = 12 + (100 – 10)% of b = 12 + 0.9b;BTGModeratorVI wrote: ↑Thu Jul 23, 2020 6:37 amAlex 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
Answer: B
Source: Princeton Review
For Victor, total bill = 15 + (100 – 15)% of b = 15 + 0.85b;
=> 12 + 0.9b = 15 + 0.85b
b = $60
Correct answer: B
Hope this helps!
-Jay
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Brent@GMATPrepNow
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IMPORTANT:BTGModeratorVI wrote: ↑Thu Jul 23, 2020 6:37 amAlex 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
Answer: B
Source: Princeton Review
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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Scott@TargetTestPrep
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Solution:BTGModeratorVI wrote: ↑Thu Jul 23, 2020 6:37 amAlex 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
Answer: B
We can create the equation:
12 + 0.9b = 15 + 0.85b
0.05b = 3
b = 60
Answer: B
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