Question

4. Veena and Vani are partners sharing profits in the ratio of 3:2. They admit Rani
as a new partner for 1/5th share in the future profits of the firm, which she
gets equally from Veena and Vani. Calculate new profit sharing ratio of Veena.
Vani and Rani.
(Ans: 5:3:2)​

Answer 1

Question :

To find new profit sharing ratio :

Solution :

Given :

• old ratio= 3:2
• Rani's share = 1/5 equally from both.

so, Rani gets 1/10 from both.

Veena 's Share :

$\longrightarrow \frac{3}{5} - \frac{1}{10} = \frac{3 \times 2}{5 \times 2} - \frac{1}{10} = \frac{5}{10}$

Vani 's Share :

$\longrightarrow \frac{2}{5} - \frac{1}{10} = \frac{2 \times 2}{5 \times 2} - \frac{1}{10} = \frac{4}{10} - \frac{1}{10} = \frac{3}{10}$

Rani 's Share :

$\longrightarrow \frac{1}{5} = \frac{2}{10}$

$\bull \: \sf \: share \: of \: veena \: = \frac{5}{10}$

$\bull\sf \: \: share \: of \: vani \: = \frac{3}{10}$

$\bull\sf \: \: share \: of \: rani \: = \frac{2}{10}$

${\boxed{\underline{\bf{new \: profit \: sharing \: ratio \: = 5:3:2}}}}$

More :

• To find Sacrificing ratio :

Old ratio - New ratio

• To find new profit sharing ratio :

Share of old partners - share of new partner

If the question provides From or of the the share of partners then , we have to do substract and multiply from old ratio.

• from =( - )
• Of = ( × )