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

Expert replies
by alanforde800Maximus » Mon Oct 03, 2016 8:57 pm
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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Source: — Problem Solving |

by Brent@GMATPrepNow » Tue Oct 04, 2016 7:26 am
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
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 = 44550
So, 44550 books sold for $20 apiece

TOTAL revenue = (4950)($10) + (44550)($20)
= 49500 + 891,000
= 940500
Answer: B

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- Finding x Percent of y: https://www.gmatprepnow.com/module/gmat ... video/1076
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by [email protected] » Tue Oct 04, 2016 9:40 am
Hi alanforde800Maximus,

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: B

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