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

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

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New post 07 Feb 2014, 05:44
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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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Re: Three business partners, Q, R, and S, agree to divide their  [#permalink]

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New post 07 Feb 2014, 05:44
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.
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Re: Three business partners, Q, R, and S, agree to divide their  [#permalink]

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New post 07 Feb 2014, 09:11
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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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Re: Three business partners, Q, R, and S, agree to divide their  [#permalink]

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New post 07 Feb 2014, 10:40
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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.
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Re: Three business partners, Q, R, and S, agree to divide their  [#permalink]

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New post 08 Feb 2014, 04:47
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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.
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Re: Three business partners, Q, R, and S, agree to divide their  [#permalink]

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New post 28 Sep 2016, 03:07
[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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Re: Three business partners, Q, R, and S, agree to divide their   [#permalink] 31 Jan 2019, 04:14
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