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04 Jan 2018, 23:36
00:00

Difficulty:

35% (medium)

Question Stats:

90% (02:48) correct 10% (02:30) wrong based on 46 sessions

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A collection of books went on sale, 1/6 of which were sold at $3.50 each and 3/5 were sold at$5 each. If the number of unsold books is 28, what is the total revenue received for the books that were sold?

A. $158 B.$248
C. $350 D.$430
E. $460 _________________ Senior PS Moderator Joined: 26 Feb 2016 Posts: 3386 Location: India GPA: 3.12 A collection of books went on sale, 1/6 of which were sold at$3.50 ea  [#permalink]

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05 Jan 2018, 01:21
Bunuel wrote:
A collection of books went on sale, 1/6 of which were sold at $3.50 each and 3/5 were sold at$5 each. If the number of unsold books is 28, what is the total revenue received for the books that were sold?

A. $158 B.$248
C. $350 D.$430
E. $460 Let the total number of books be x. $$x - \frac{x}{6} - \frac{3x}{5} = 28$$ --> $$\frac{30x - 5x - 18x}{30} = 28$$ --> $$\frac{7x}{30} = 28$$ --> $$x = 4*30 = 120$$ Since $$\frac{1}{6}$$th of books were sold at 3.50$, $$\frac{1}{6}*120*3.50 = 70$$ is the revenue from the sales.
Similarly, $$\frac{3}{5}$$th of the books were sold at 5$each, $$\frac{3}{5}*120*5 = 360$$ is the revenue from the sales. Therefore, total revenue from the sales of these books is 70+360 = 430(Option D) _________________ You've got what it takes, but it will take everything you've got CEO Status: GMATINSIGHT Tutor Joined: 08 Jul 2010 Posts: 2933 Location: India GMAT: INSIGHT Schools: Darden '21 WE: Education (Education) Re: A collection of books went on sale, 1/6 of which were sold at$3.50 ea  [#permalink]

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05 Jan 2018, 05:43
Bunuel wrote:
A collection of books went on sale, 1/6 of which were sold at $3.50 each and 3/5 were sold at$5 each. If the number of unsold books is 28, what is the total revenue received for the books that were sold?

A. $158 B.$248
C. $350 D.$430
E. $460 1- (1/6) - (3/5) = 7/30 i.e. 7/30 of total books = 28 total books = 120 Revenue = (1/6)*120*3.5 + (3/5)*120*5 = 70+360 = 430 Answer: Option D _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Re: A collection of books went on sale, 1/6 of which were sold at$3.50 ea   [#permalink] 05 Jan 2018, 05:43
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