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A book shop sold a set of harry potter book series to a book collector
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19 Jan 2022, 06:45
19 Jan 2022, 06:45
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Question Stats:
50% (02:03) correct
50% (02:45) wrong based on 2 sessions
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A book shop sold a set of harry potter book series to a book collector for 40 percent more than the store had originally paid for the books. When the collector tried to resell the books to the store, the store bought it back at 50 percent of what the book collector had paid. The shop then sold the book again at a profit of 70 percent on its buy-back price. If the difference between the series of book's original cost to the shop and the book's buy-back price was $100, for approximately how much did the shop sell the books the second time?
A. 600
B. 567
C. 560
D. 333
E. 330
A. 600
B. 567
C. 560
D. 333
E. 330
A book shop sold a set of harry potter book series to a book collector
[#permalink]
19 Jan 2022, 19:26
19 Jan 2022, 19:26
1
Let x = Price the book store originally bought the book series
40 percent more than the store had originally paid for the books: x(1.4)
The buy-back price of the book series was 50 percent of what the book collector had paid: (x)(1.4)/2
The difference between the series of book's original cost to the shop and the book's buy-back price was $100: x - (x)(1.4)/(2) = 100
2[(x - (x)(1.4)/(2) = 100)] Multiply both sides by 2
2x - (x)(1.4) = 200
2x - 1.4x = 200
0.6x = 200
x = 333
Answer: D
40 percent more than the store had originally paid for the books: x(1.4)
The buy-back price of the book series was 50 percent of what the book collector had paid: (x)(1.4)/2
The difference between the series of book's original cost to the shop and the book's buy-back price was $100: x - (x)(1.4)/(2) = 100
2[(x - (x)(1.4)/(2) = 100)] Multiply both sides by 2
2x - (x)(1.4) = 200
2x - 1.4x = 200
0.6x = 200
x = 333
Answer: D
gmatclubot
A book shop sold a set of harry potter book series to a book collector [#permalink]
19 Jan 2022, 19:26
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