Question

Divide Rs. 1545 between three people A, B and C such that A gets three-fifth of what B gets and the ratio of the share of B to C is 6:11.

Answer 1

A gets 3/5th of B
If B gets 1, A gets 3/5
Hence, A:B= 3/5 :1 or 3:5
B:C=6:11(given)
Now making 'B' value same in both(by taking LCM)
A:B= 3*6:5*6 = 18:30
B:C=6*5:11*5 = 30:55
A:B:C=18:30:55
Total parts=103
103==1545
1 part= 1545/103 = 15
A==18*15=270Rs
B==30*15=450Rs
C==55*15=825Rs
So, A,B,C receive Rs.270,450,825 respectively (ratio-18:30:55)

Answer 2

A = (3/5)B. (B/C) = (6/11), ie., B = 6C/11 & A = (3/5)(6C/11) = (18/55)C.
Together A+B+C get Rs 1545, ie., [(18/55) + (6/11) + 1]C gets Rs 1545.
18/55 + 6/11 + 1 = (48+55)/55 = 103/55. Therefore C gets Rs (55/103)*
1545 = Rs 825. Then B gets (6/11)C = Rs 450 & A gets (18/55)C =
Rs 270. Therefore (A,B,C) get Rs (270,450,825).

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