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11 Jan 2022, 06:00
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C
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Difficulty:
85%
(hard)
Question Stats:
67% (03:28) correct
33%
(03:36)
wrong
based on 84
sessions
History
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Time
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Not Attempted Yet
A publisher printed 3000 copies of 'future shock' at a cost of $2400. He gave 500 copies free to different philanthropic institutions. He allowed a discount of 25% on the published price and gave one copy free for every 25 copies bought at a time. He was able to sell all the copies in this manner. If the published price is $3.25, then what is his overall gain or loss percentage in the whole transaction?
A. 113
B. 130
C. 144
D. 156
E. 162
Are You Up For the Challenge: 700 Level Questions
A. 113
B. 130
C. 144
D. 156
E. 162
Are You Up For the Challenge: 700 Level Questions
21 Jan 2022, 17:48
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The publisher printed 3000 copies
The total cost for these 3000 copies is $2400.
He gave away 500 copies to charity, leaving him with 2500 copies.
We are told that he offers a deal: sale price is discounted by 25% and a copy is free for every 25 books sold.
Let x be the number of 25 copy-bundles that he has sold.
Then 25x + x <= 2500 where x is the largest positive integer. Solving gives us x = 96
So, he sold 25 x 96 = 2400 copies at $3.25 x 0.75 = $5850
96 copies were given free as part of the deal.
I assumed that the remaining 4 copies were not on a deal (<25) so were sold at $3.25. The price for these is $13
So, total sale price = $5850 + $13 = $5863
Profit = ($5863 - $2400)/($2400) = 1.44 or 144%
Answer: C
The total cost for these 3000 copies is $2400.
He gave away 500 copies to charity, leaving him with 2500 copies.
We are told that he offers a deal: sale price is discounted by 25% and a copy is free for every 25 books sold.
Let x be the number of 25 copy-bundles that he has sold.
Then 25x + x <= 2500 where x is the largest positive integer. Solving gives us x = 96
So, he sold 25 x 96 = 2400 copies at $3.25 x 0.75 = $5850
96 copies were given free as part of the deal.
I assumed that the remaining 4 copies were not on a deal (<25) so were sold at $3.25. The price for these is $13
So, total sale price = $5850 + $13 = $5863
Profit = ($5863 - $2400)/($2400) = 1.44 or 144%
Answer: C
28 Jun 2026, 05:03
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500 for free.
Remaining = 2500.
1 for every 25 is free
100 for every 2500 is free.
remaining 2400 he sells for a price of 3.25*3/4 = 2.44 around.
Profit percentage = 144%
Remaining = 2500.
1 for every 25 is free
100 for every 2500 is free.
remaining 2400 he sells for a price of 3.25*3/4 = 2.44 around.
Profit percentage = 144%
Bunuel
