Latest ACIO Aptitude Question SOLUTION: Divide Rs. 1600 among A, B and C so that A gets 1/3 as much as B and C together and B gets 2/3 as A and C together. A's share is?

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(#M40155206) ACIO question ss Keep an EYE

Divide Rs. 1600 among A, B and C so that A gets 1/3 as much as B and C together and B gets 2/3 as A and C together. A's share is?

Asked In ACIO MohanRaj (8 years ago)

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Devendra Marghade  (8 years ago)

400 Rs.

Given A=(B+C)/3 ---(i) , B=(2/3)(A+C) ---(ii)
From (i), B=3A-C, Substituting this value of B in (ii), 3A-C=(2/3)(A+C) or C=7A/5
Now substituting this value of C in (ii) B=(2/3)[A+(7A/5)], B=8A/5
As A+B+C=1600 ---(iii)
So substituting value of B & C in terms of A in (iii), we have A+(8A/5)+(7A/5)=1600 or A=400
So B=640, C=560

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