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20 Dec 2015, 02:13
2
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:30) correct 38% (01:52) wrong based on 144 sessions

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An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and$0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold? (A) 130,000 (B) 300,000 (C) 380,000 (D) 400,000 (E) 420,000 My Solution: Lets assume total number of books sold = N 0.8 * 100,000 + (N-100,000) 6/10 = 260,000 (N-100,000) 6/10 = 260,000-80,000 = 180,000 Plugin answers: I prefer to start with C, but B and D are easy to calculate. I pick D to start with. (400,000 - 100, 000) 6/10= 300,000 * 6/10 = 180,000 Match with LHS to RHS. Answer D is correct. _________________ Discipline does not mean control. Discipline means having the sense to do exactly what is needed. Director Joined: 10 Mar 2013 Posts: 503 Location: Germany Concentration: Finance, Entrepreneurship GMAT 1: 580 Q46 V24 GPA: 3.88 WE: Information Technology (Consulting) Re: An author received$0.80 in royalties for each of the first 100,000 co  [#permalink]

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20 Dec 2015, 02:35
3
1
Rsohal wrote:
An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and$0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold? (A) 130,000 (B) 300,000 (C) 380,000 (D) 400,000 (E) 420,000 My Solution: Lets assume total number of books sold = N 0.8 * 100,000 + (N-100,000) 6/10 = 260,000 (N-100,000) 6/10 = 260,000-80,000 = 180,000 Plugin answers: I prefer to start with C, but B and D are easy to calculate. I pick D to start with. (400,000 - 100, 000) 6/10= 300,000 * 6/10 = 180,000 Match with LHS to RHS. Answer D is correct. $$0.8*10^5+0.6*(x-10^5)=260000$$ $$10^5*0.2+0.6x=260000$$ $$x=400000$$ Answer D _________________ When you’re up, your friends know who you are. When you’re down, you know who your friends are. Share some Kudos, if my posts help you. Thank you ! 800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660 Intern Joined: 30 May 2014 Posts: 15 WE: Information Technology (Consulting) Re: An author received$0.80 in royalties for each of the first 100,000 co  [#permalink]

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20 Dec 2015, 03:04
2
1
Rsohal wrote:
An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and$0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold? (A) 130,000 (B) 300,000 (C) 380,000 (D) 400,000 (E) 420,000 Total royalties for first 100.000 books = .8*100,000= 80,000 Total royalties for the rest of the books = 260,000-80,000 = 180,000 Remaining books = 180,000/0.6 = 300,000 Total books = 300,000+100,000 = 400,000 Answer D Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4527 Location: United States (CA) Re: An author received$0.80 in royalties for each of the first 100,000 co  [#permalink]

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21 Jan 2018, 18:53
RSOHAL wrote:
An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and$0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold? (A) 130,000 (B) 300,000 (C) 380,000 (D) 400,000 (E) 420,000 If we let n = the total number of copies sold, then (n - 100,000) is the number of additional copies (those in excess of 100,000) sold, and we can create the equation: 260,000 = 0.8 x 100,000 + 0.6(n - 100,000) 260,000 = 80,000 + 0.6n - 60,000 240,000 = 0.6n 400,000 = n Answer: D _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Re: An author received$0.80 in royalties for each of the first 100,000 co &nbs [#permalink] 21 Jan 2018, 18:53
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