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If $117 is divided among A, B and C such that their shares are in the

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If $117 is divided among A, B and C such that their shares are in the  [#permalink]

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New post 17 Jan 2020, 00:38
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

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

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Concentration: Sustainability, Marketing
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Re: If $117 is divided among A, B and C such that their shares are in the  [#permalink]

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New post 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
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Re: If $117 is divided among A, B and C such that their shares are in the  [#permalink]

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New post 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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If $117 is divided among A, B and C such that their shares are in the  [#permalink]

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New post 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.

Correct Answer: Option C
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If $117 is divided among A, B and C such that their shares are in the   [#permalink] 17 Jan 2020, 10:35
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