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# Three business partners, Q, R, and S, agree to divide their

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Math Expert
Joined: 02 Sep 2009
Posts: 61211
Three business partners, Q, R, and S, agree to divide their  [#permalink]

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07 Feb 2014, 04:44
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94% (00:54) correct 6% (01:16) wrong based on 979 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was $4,000, what was the total profit of the business partners for the year? (A)$26,000
(B) $30,000 (C)$52,000
(D) $60,000 (E)$300,000

Problem Solving
Question: 82
Category: Algebra Applied problems
Page: 72
Difficulty: 600

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Re: Three business partners, Q, R, and S, agree to divide their  [#permalink]

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07 Feb 2014, 08:11
4
IMO - B

If Q's share is $4,000 and Q get 2x, then 2x = 4000, x = 2000. If R gets 5, then 5x = 10000. If S gets 8, then 8x = 16000 Q + R + S = 4000 + 10000 + 16000 = 30000 _________________ GGG (Gym / GMAT / Girl) -- Be Serious Its your duty to post OA afterwards; some one must be waiting for that... Manager Joined: 11 Jan 2014 Posts: 85 Concentration: Finance, Statistics GMAT Date: 03-04-2014 GPA: 3.77 WE: Analyst (Retail Banking) Re: Three business partners, Q, R, and S, agree to divide their [#permalink] ### Show Tags 07 Feb 2014, 09:40 4 I'd say (B), too. 2:5:8 -> 2x+5x+8x = 15x. Since Q's share is 4,000. 2x=4,000 -> x=2,000. 15*(2,000) = 30,000. Math Expert Joined: 02 Sep 2009 Posts: 61211 Re: Three business partners, Q, R, and S, agree to divide their [#permalink] ### Show Tags 08 Feb 2014, 03:47 1 SOLUTION Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was$4,000, what was the total profit of the business partners for the year?

(A) $26,000 (B)$30,000
(C) $52,000 (D)$60,000
(E) $300,000 The total profit was divided in the ratio Q:R:S = 2:5:8, hence Q's share was 2/(2 + 5 + 8) = 2/15 of the total profit. Q's share was$4,000, thus 2/15*{total} = 4,000 --> {total} = 30,000.

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Re: Three business partners, Q, R, and S, agree to divide their  [#permalink]

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07 Feb 2014, 04:44
SOLUTION

Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was $4,000, what was the total profit of the business partners for the year? (A)$26,000
(B) $30,000 (C)$52,000
(D) $60,000 (E)$300,000

The total profit was divided in the ratio Q:R:S = 2:5:8, hence Q's share was 2/(2 + 5 + 8) = 2/15 of the total profit. Q's share was $4,000, thus 2/15*{total} = 4,000 --> {total} = 30,000. Answer: B. _________________ Intern Joined: 18 Sep 2016 Posts: 43 Re: Three business partners, Q, R, and S, agree to divide their [#permalink] ### Show Tags 28 Sep 2016, 02:07 [quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was$4,000, what was the total profit of the business partners for the year?

(A) $26,000 (B)$30,000
(C) $52,000 (D)$60,000
(E) \$300,000

total profit is equal to the sum of the ratios * a variable (x) ======> = $$2x+5x+8x= (2+5+8)*x$$ =15x

if Q's share is 4000 ====> 2x=4000====> x=2000

therefore, from the firstequation, total profit= $$2000*15=30000$$
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Re: Three business partners, Q, R, and S, agree to divide their  [#permalink]

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31 Jan 2019, 03:14
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Re: Three business partners, Q, R, and S, agree to divide their   [#permalink] 31 Jan 2019, 03:14
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