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17 Jan 2020, 00:38
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Difficulty:

35% (medium)

Question Stats:

82% (01:40) correct 18% (00:36) wrong based on 16 sessions

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If $117 is divided among A, B and C such that their shares are in the ratio 1/2:1/3:1/4 respectively, how much did B get? A. 27 B. 30 C. 36 D. 39 E. 54 _________________ GMAT Club Legend Joined: 18 Aug 2017 Posts: 5918 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: If$117 is divided among A, B and C such that their shares are in the  [#permalink]

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17 Jan 2020, 02:34
first determine value of x ; x/2+x/3+x/4 = 117
we get x= 108
so B share ; 36
IMO C

Bunuel wrote:
If $117 is divided among A, B and C such that their shares are in the ratio 1/2:1/3:1/4 respectively, how much did B get? A. 27 B. 30 C. 36 D. 39 E. 54 Manager Joined: 14 Sep 2019 Posts: 175 Re: If$117 is divided among A, B and C such that their shares are in the  [#permalink]

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17 Jan 2020, 02:50
Given ratios = A: B: C= 1/2:1/3:1/4 = 6:4:3 (Multiplying by 12, LCM of 2,3 and 4)

The portion of B = 4/13 *117 = 4*9 = 36(C)
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Joined: 04 Jan 2015
Posts: 3256
If $117 is divided among A, B and C such that their shares are in the [#permalink] ### Show Tags 17 Jan 2020, 10:35 Solution Given In this question, we are given that •$117 is divided among A, B, and C
• Ratio of shares of A, B, and C = $$\frac{1}{2}: \frac{1}{3}: \frac{1}{4} = (\frac{1}{2} * 12): (\frac{1}{3} * 12): (\frac{1}{4} * 12) = 6: 4: 3$$

To find
We need to determine
• The amount that B got

Approach and Working out
As the ratio of their share is 6: 4: 3,
• Share of B = $$117 * \frac{4}{(6 + 4 + 3)} = 117 * \frac{4}{13} = 36$$

Thus, option C is the correct answer.

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