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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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B

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]
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]
Expert Reply
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

Final Answer:

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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s [#permalink]
Given:
* Sold (49,500*0.1) for $10
* Sold (49,500*0.9) for $20

Same as: Sold (49,500*0.95) for $20

=49,500(95/100)20
=49,500(19)
=49,500(20)-49,500
=990,000-49,500
=940,500

Cheers,
Eyal

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


Half price is $10. We can create the expression:

49,500 x 0.1 x 10 + 49,500 x 0.9 x 20 =

49,500(1 + 18) = 940,500

Answer: B
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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s [#permalink]
49500 sold;
4950 for 10$ = 49500$
44550 for 20$ = 891000$
Total: 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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Re: A publisher printed 50,000 copies of a book. All but 500 copies were s [#permalink]
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