Wipro Company Numerical Ability Ratio and Proportion

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

Read Solution (Total 1)

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)
13 years agoHelpfull: Yes(0) No(0)

Wipro Other Question

A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare, the jackal takes 5 leaps. Find the ratio of their speeds.
A. 64:25
B. 8:5
C. 5:8
D. 25:64
E. None A total of $212.50 is divided among Adam, Bill and Chan such that for every dollar that Adam gets, Bill gets 75 cents and for every dollar that Bill gets, Chan gets 50 cents. Find the amount received by Chan.
A. $32
B. $37.5
C. $35
D. $40
E. $42