question_answer

Rahul and Rohit are partners sharing profits in the ratio of 1:2. They admit Sohan for l/4th share, which he acquires from Rahul. Find the new profit sharing ratio.

Answer:

Old Ratio = 1 : 2. \[Shon's\,Share\,=\,\frac{1}{4}to\,be\,Sacrificed\,by\,Rahul,\] Rahul's New Share =\[\frac{1}{3}-\frac{1}{4}=\frac{4-3}{12}=\frac{1}{12}\] \[Rohit's\text{ }Share\,=\,\frac{2}{3};\]    \[Sohan's\text{ }Share=\frac{1}{4}\] \[\therefore New\text{ }Ratio\,=\,\frac{1}{12}:\frac{2}{3}:\frac{1}{4}\Rightarrow \frac{1:8:3}{12}\Rightarrow 1:8:3\]