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

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Math Expert
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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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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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Math Expert
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Kudos [?]: 139200 [0], given: 12779

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. _________________ Kudos [?]: 139200 [0], given: 12779 Senior Manager Joined: 25 Feb 2010 Posts: 445 Kudos [?]: 116 [2], given: 10 Re: Three business partners, Q, R, and S, agree to divide their [#permalink] ### Show Tags 07 Feb 2014, 08:11 2 This post received KUDOS 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
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Kudos [?]: 116 [2], given: 10

Manager
Joined: 11 Jan 2014
Posts: 94

Kudos [?]: 76 [2], given: 11

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]

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07 Feb 2014, 09:40
2
KUDOS
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.

Kudos [?]: 76 [2], given: 11

Math Expert
Joined: 02 Sep 2009
Posts: 43296

Kudos [?]: 139200 [1], given: 12779

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

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08 Feb 2014, 03:47
1
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Expert's post
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. _________________ Kudos [?]: 139200 [1], given: 12779 Intern Joined: 18 Sep 2016 Posts: 49 Kudos [?]: 17 [0], given: 97 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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20 Dec 2017, 07:13
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Re: Three business partners, Q, R, and S, agree to divide their   [#permalink] 20 Dec 2017, 07:13
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