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Rs.432 is divided amongst three workers A, B and C such that 8 times A

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Math Expert
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Joined: 02 Sep 2009
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Rs.432 is divided amongst three workers A, B and C such that 8 times A  [#permalink]

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New post 30 Jan 2019, 04:28
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (02:35) correct 35% (02:54) wrong based on 29 sessions

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Joined: 18 Aug 2017
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Concentration: Sustainability, Marketing
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Re: Rs.432 is divided amongst three workers A, B and C such that 8 times A  [#permalink]

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New post 30 Jan 2019, 06:06
Bunuel wrote:
Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?


A. Rs.192
B. Rs.144
C. Rs.133
D. Rs.128
E. Rs.48


given
a+b+c=432
8a=12b=6c
b=2a/3
c=4a/3

so
a+2a/3+4a/3=232
solve for a
a= 144
IMO B
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Target Test Prep Representative
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Re: Rs.432 is divided amongst three workers A, B and C such that 8 times A  [#permalink]

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New post 01 Feb 2019, 19:05
Bunuel wrote:
Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?


A. Rs.192
B. Rs.144
C. Rs.133
D. Rs.128
E. Rs.48


Let’s let the number of shares that A, B, and C received be a, b, and c, respectively.. So we have:

a + b + c = 432

and

8a = 12b --> b = (2/3)a

and

8a = 6c --> c = (4/3)a

Substituting (2/3)a and (4/3)a for b and c, respectively, into equation 1, we have:

a + (2/3)a + (4/3)a = 432

3a = 432

a = 144

Answer: B
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Re: Rs.432 is divided amongst three workers A, B and C such that 8 times A  [#permalink]

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New post 01 Feb 2019, 21:28
Bunuel wrote:
Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?


A. Rs.192
B. Rs.144
C. Rs.133
D. Rs.128
E. Rs.48


B

8A = 12B = 6C

A+B+C = 432

Just change the ratio in a single term

3/2 B + 3B = 432
B = 96

A = 3/2 * B
A = 3/2 * 96
A = Rs. 144
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Re: Rs.432 is divided amongst three workers A, B and C such that 8 times A   [#permalink] 01 Feb 2019, 21:28
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