Latest Wipro Aptitude Question SOLUTION: A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount receiv

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A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $12.4 more than that received by B, find the total amount shared by A, B and C.
A. $345.20
B. $386.40
C. $520.30
D. $446.40
E. None

Asked In Wipro (12 years ago)

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srujan  (12 years ago)

A = 1/3 (B+C) => C = 3A - B ---(1)
B = 2/7 (A+C) => C = 3.5 B - A --(B)
A-B = $12.4
A = 12.4+B

(1)===> C = (37.2)+3B - B = 2B+37.2 ==> 2B-C = -37.2 ---(3)
(2)===> C = 3.5 B - B-12.4 = 2.5B-12.4==>2.5B-C = 12.4 ---(4)

from (4) and (3) 0.5B = 49.6
B = $99.2
A= $111.6
C =334.8-99.2=$235.6


Ans $446.4 (D)

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