Question 12
Dear Student
Old Ratio between A:B:C = Equal .
Share gained by C from B = 1/3 of B = 1/3 x 1/3 = 1/9 .
C's New share = Old Share + Share aquired from B = 1/3 + 1/9 = 4/9
Share of B transferred to reserve = 1/3 x 1/6 = 1/18 .
Remaining B's share transferred to A = 1/3 - (1/18 + 1/9) = 1/3 - 3/18 = 1/6
A's New Share = OldShare + share gained from B = 1/3 + 1/6 = 3/6 or 1/2
Therefore Ratio between A and C = 1/2 : 4/9 or 9/18 : 8/18 i.e 9:8.
Regards
Old Ratio between A:B:C = Equal .
Share gained by C from B = 1/3 of B = 1/3 x 1/3 = 1/9 .
C's New share = Old Share + Share aquired from B = 1/3 + 1/9 = 4/9
Share of B transferred to reserve = 1/3 x 1/6 = 1/18 .
Remaining B's share transferred to A = 1/3 - (1/18 + 1/9) = 1/3 - 3/18 = 1/6
A's New Share = OldShare + share gained from B = 1/3 + 1/6 = 3/6 or 1/2
Therefore Ratio between A and C = 1/2 : 4/9 or 9/18 : 8/18 i.e 9:8.
Regards