A and B are the partners sharing profit in the ratio 5:4. They admitted C and D on the terms that C will take 1/4th share of A and B will sacrifice 1/3 from his share for D. Calculate new ratio.
Answer & explanation
Correct answer: option 2
The correct answer is option 2- 15 : 4: 5 : 12.
Old ratio between A & B = 5:4
C & D admits
C will take 1/4th share of A and B will sacrifice 1/3 from his share for D.
A's sacrifice = 5/9 x 1/4
= 5/36
B sacrifice = 1/3
New share = Old share - Sacrificed share
New share of A = 5/9 - 5/36
= (20 - 5)/36
= 15/36
New share of B = 4/9 - 1/3
= (4-3)/9
=1/9
C = 5/36
D = 1/3
New ratio = 15/36 : 1/9 : 5/36 : 1/3
= 15/36 : 4/36 : 5/36 : 12/36
= 15:4:5:12