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

Question

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.

BrentGMATPrepNow · Accepted Answer

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: B

Kurtosis · Answer

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

Vinayak Shenoy · Answer

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

law258 · Answer

49500 (sold) ---> 4,950($10) = 49,500 & 44,500($20) = 91,000
500 (not sold)

44,500+91,000 = 940,500

EMPOWERgmatRichC · Answer

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:  B

GMAT assassins aren't born, they're made, 
Rich

EyalFuhrer · Answer

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

Posted from my mobile device

ScottTargetTestPrep · Answer

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

mm229966 · Answer

49500 sold;
4950 for 10$ = 49500$
44550 for 20$ = 891000$
Total: 940500$

bumpbot · Answer

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

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