Question : A and B were partners sharing profits in the ratio of 5: 3. On 1st April, 2014 they admitted C as a new partner for I/4th share which he acquired from Z and B in the ratio of 3: 2. On 1st April 2015, another new partner D was admitted for 1/6th share which he acquires 1/10 from A and 1/15 from C. On 1st April, 2016 A dies and his share was taken over by B, C and D equally.
Question:
New profit sharing ratio of A, B and C on C's admission.
Option 1: 10:11:19
Option 2: 19:11:10
Option 3: 22:15:11
Option 4: None of the above.
Correct Answer: 19:11:10
Solution :
Answer =
19:11:10
O.R-S.R
A= $\frac{5}{8}-\frac{3}{20}$= $\frac{100-24}{160}$= $\frac{76}{160}$
B= $\frac{3}{8}-\frac{2}{20}$= $\frac{60-16}{160}$= $\frac{44}{160}$
A sacrifice ratio= $\frac{1}{4}$×$\frac{3}{5}$= $\frac{3}{20}$
B sacrifice ratio= $\frac{1}{4}$×$\frac{2}{5}$= $\frac{2}{20}$
C's share= $\frac{3}{20}+\frac{2}{20}$= $\frac{5}{20}$×$\frac{8}{8}$= $\frac{40}{160}$.
N.P.S.R=76:44:40= 38:22:20= 19:11:10.
Hence, the correct option is 2.
