Question

divide 1020 among A, B,C in such a way that a gets 2 by 3 of what B gets and B gets 1 by 4 of what C gets find their respective shares

Answer 1

B=1/4C
let c=x
B=1/4x
B=x/4
A=2/3B
A=2/3×x/4
A=x/6
A:B:C = x/6:x/4:x
=2x:3x:12x
A:B:C=2:3:12
A+B+C=1020
17x=1020
x=1020/17
x=60
A=2x
A=2(60)
A=120rs
B=3x
B=3(60)
B=180rs
C=12x
C=12(60)
C=720 Rs is the shares