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28 Sep 2017, 01:50
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A collection of books went on sale, 4/5 of which were sold at $6.40 each. If none of the remaining 25 books were sold, what was the total received for the books that were sold? A.$100
B. $160 C.$320
D. $480 E.$640

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Re: A collection of books went on sale, 4/5 of which were sold at $6.40 ea [#permalink] ### Show Tags 28 Sep 2017, 02:02 A collection of books went on sale, 4/5 of which were sold at$6.40 each. If none of the remaining 25 books were sold, what was the total received for the books that were sold?

Let total number of books = x

4/5 of x sold at $6.40 each. => revenue = 4x/5 * 6.4 remaining books = 1/5 of x = 25 => 1/5 * x = 25 => x= 125 So total revenue = (4* 125 /5) * 6.4 =$ 640

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A collection of books went on sale, 4/5 of which were sold at $6.40 ea [#permalink] ### Show Tags 28 Sep 2017, 13:40 Bunuel wrote: A collection of books went on sale, 4/5 of which were sold at$6.40 each. If none of the remaining 25 books were sold, what was the total received for the books that were sold?

A. $100 B.$160
C. $320 D.$480
E. $640 Total received = (# of books sold) * (price per book) 1) Number of books total? Fraction of all books not sold: $$\frac{1}{5}$$ Number of all books not sold = 25 $$\frac{1}{5}$$ of all books = $$25$$ All books = $$25 *\frac{5}{1} = 125$$ 2) Total books sold?* (All books) - (# not sold) = (# sold) (125 - 25) = 100 books sold 3) Total money received? 100 books *$6.40 per book = $640 Answer E *You can combine steps to find total books sold. $$\frac{PartUnsold}{#Unsold} = \frac{PartSold}{#Sold}$$ $$\frac{\frac{1}{5}}{25} = \frac{\frac{4}{5}}{?}$$ Numerator is multiplied by 4. Do the same to the denominator: 25 * 4 = 100 sold. Or cross multiply _________________ In the depths of winter, I finally learned that within me there lay an invincible summer. -- Albert Camus, "Return to Tipasa" Intern Joined: 05 Mar 2017 Posts: 6 Re: A collection of books went on sale, 4/5 of which were sold at$6.40 ea  [#permalink]

### Show Tags

28 Sep 2017, 15:42
If $$\frac{4}{5}$$ were sold then $$\frac{1}{5}$$ were not sold.

According to the post, 25 remained unsold, meaning 25=$$\frac{1}{5}$$ of the total books. 25 x 4 (portion of books that were sold)= 100 x 6.40= 640

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Re: A collection of books went on sale, 4/5 of which were sold at $6.40 ea [#permalink] ### Show Tags 03 Oct 2017, 10:03 Bunuel wrote: A collection of books went on sale, 4/5 of which were sold at$6.40 each. If none of the remaining 25 books were sold, what was the total received for the books that were sold?

A. $100 B.$160
C. $320 D.$480
E. $640 Since 25 books represents the remaining 1/5 of the books, there were originally 5 x 25 = 125 books. Thus, 4/5 x 125 = 100 books were sold for$6.40 each, so $640 was made on the sale of those books. Answer: E _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Re: A collection of books went on sale, 4/5 of which were sold at$6.40 ea &nbs [#permalink] 03 Oct 2017, 10:03
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