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A publisher printed 50,000 copies of a book. All but 500 copies were s

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A publisher printed 50,000 copies of a book. All but 500 copies were s  [#permalink]

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New post 03 Oct 2016, 21:57
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A publisher printed 50,000 copies of a book. All but 500 copies were sold. Of the books sold,
10 percent were sold at half price, and the remaining copies were sold at the full price of $20.
What was the publisher's total revenue?

a) $859500
b) $940500
c) $950000
d) $999500
e) $1050000

Please assist with above problem.
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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s  [#permalink]

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New post 04 Oct 2016, 08:28
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alanforde800Maximus wrote:
A publisher printed 50,000 copies of a book. All but 500 copies were sold. Of the books sold,
10 percent were sold at half price, and the remaining copies were sold at the full price of $20.
What was the publisher's total revenue?

a) $859500
b) $940500
c) $950000
d) $999500
e) $1050000

Please assist with above problem.


A publisher printed 50,000 copies of a book. All but 500 copies were sold
So, 50,000 - 500 = 49,500
So, 49,500 books we sold

Of the books sold, 10 percent were sold at half price, and the remaining copies were sold at the full price of $20.
10% of 49,500 = 4950
So, 4950 books sold for $10 apiece

49,500 - 4950 = 44,550
So, 44,550 books sold for $20 apiece

TOTAL revenue = (4950)($10) + (44,550)($20)
= 49,500 + 891,000
= 940,500
Answer:

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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s  [#permalink]

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New post 04 Oct 2016, 07:50
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alanforde800Maximus wrote:
A publisher printed 50,000 copies of a book. All but 500 copies were sold. Of the books sold,
10 percent were sold at half price, and the remaining copies were sold at the full price of $20.
What was the publisher's total revenue?

a) $859500
b) $940500
c) $950000
d) $999500
e) $1050000

Please assist with above problem.


Number of books available = x = 50000
Number of books sold = x - 500

Full Price = 20; Half Price = 10

Revenue from half price books = 0.1(x - 500)*10 = (x - 500)
Revenue from full price books = 0.9(x - 500)*20 = 18(x - 500)
Total Revenue = x - 500 + 18(x - 500) = 19(x - 500) = 19*49500

Answer: B
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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s  [#permalink]

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New post 04 Oct 2016, 08:33
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Out of 50,000 copies 49,500 were sold. Out of 49,500, 4950 were sold at half the original price. Original price is given as $20
So (49500-4950)*20+(4950*10)= $940500
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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s  [#permalink]

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New post 26 Oct 2016, 19:55
49500 (sold) ---> 4,950($10) = 49,500 & 44,500($20) = 91,000
500 (not sold)

44,500+91,000 = 940,500
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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s  [#permalink]

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New post 27 Jan 2018, 13:21
Hi All,

This question is really just about taking organized notes and doing a bit of arithmetic. Here's how we can break the prompt down into 'pieces':

First, we're told that there are 50,000 copies of a book and all BUT 500 are sold...

Total = 50,000
Sold = 49,500
Not Sold = 500

Next, we're told that of the books that were SOLD, 10% were sold at HALF PRICE (and the rest were sold at FULL PRICE)....

Total Sold = 49,500
Half Price = 4,950
Full Price = 44,550

The question asks for TOTAL REVENUE (full price = $20 per book, half price = $10 per book)

Half Price Books = (4,950)($10) = 49,500
Full Price Books = (44,550)($20) = 891,000

Total Revenue = $49,500 + $891,000 = $940,500

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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s &nbs [#permalink] 27 Jan 2018, 13:21
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