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, C and D on D's admission will be
Option 1: 45: 33: 22: 20
Option 2: 33: 22: 20: 45
Option 3: 3:2:1:1
Option 4: None of the above
Correct Answer: 45: 33: 22: 20
Solution :
Answer =
45: 33: 22: 20
A= $\frac{19}{40}-\frac{1}{10}$= $\frac{19-4}{40}$= $\frac{15}{40}$×$\frac{3}{3}$= $\frac{45}{120}$.
B= $\frac{11}{40}$= $\frac{11}{40}$×$\frac{3}{3}$= $\frac{33}{120}$.
C= $\frac{10}{40}-\frac{1}{5}$= $\frac{30-8}{120}$= $\frac{22}{120}$.
D= $\frac{1}{10}+\frac{1}{15}$= $\frac{3+2}{30}$= $\frac{5}{30}$×$\frac{4}{4}$= $\frac{20}{120}$.
N.P.S.R= 45:33:22:20.
Hence, the correct option is 1.
