Question : B and C were partners in a firm sharing profits in the ratio of 3: 2: 1. They admitted D as a new partner for 1/8 th share in the profits, which he acquired 1/16 th from B and 1/16 th from C. sacrificing ratio will be
Option 1: 1:1:1
Option 2: 2:1
Option 3: 3:2:1
Option 4: 1:1
Correct Answer: 1:1
Solution :
Answer =
1:1
A's new Share $=\frac{3}{6}$ b's new Share $=\frac{2}{6}-\frac{1}{16}=\frac{16-3}{48}=\frac{13}{48}$
C's new Share $=\frac{1}{6}-\frac{1}{16}=\frac{8-3}{48}=\frac{5}{48} \quad$ D's Share $=\frac{1}{8}$
Thus, the New Profit Sharing Ratio for A, B, C and D will be: $\frac{3}{6}: \frac{13}{48}: \frac{5}{48}: \frac{1}{8}$
Sacrificing ratio will be 1: 1 because b and c sacrifice in the ratio of 1: 1.
Hence, the correct option is 4.
