Question

Pramod and Vinod are partner sharing profits in the ratio of 5 : 1. They decide to

admit Rohan in the firm for 1/5th share calculate the new profit sharing ratio.​

Answer 1

Answer:

Rohan's share 1/5

remaining share 4/5

new psr ; pramod 5/6*4/5= 20/30

vinod 1/6* 4/5= 4/30

rohan 1/5*6/6= 6/30

new psr = 20:4:6

10:2:3

Answer 2

The New Profit Sharing Ratio :

Pramod : Vinod : Rohan = 10 : 2 : 3

Explanation:

Solution :

Old Ratio :

Pramod : Vinod = 5 : 1

• Promod's Share = $\dfrac{5}{6}$

• Vinod's Share = $\dfrac{1}{6}$

They decide to admit Rohan in the firm for 1/5th share

• Rohan's Share = $\dfrac{1}{5}$

To find :

The New Profit Sharing Ratio :

So,

Let,

Total Profit of firm = 1

• Rohan's Share = $\dfrac{1}{5}$

★ Remaining Share =

$1 \: - \: \dfrac{1}{5} \: = \: \dfrac{4}{5}$

• New Share of Pramod =

$\longrightarrow \:\dfrac{4}{5} \: \times \: \dfrac{5}{6}$

$\longrightarrow \: \dfrac{20}{30}$

• New Share of Vinod =

$\longrightarrow \: \dfrac{4}{5} \: \times \: \dfrac{1}{6}$

$\longrightarrow \: \dfrac{4}{30}$

• Rohan's Share =

$\longrightarrow \: \dfrac{1}{5} \: = \: \dfrac{6}{30}$

★ The New Profit Sharing Ratio :

• Pramod : Vinod : Rohan

• $\dfrac{20}{30} : \dfrac{4}{30} : \dfrac{6}{30}$

$\longrightarrow$ 20 : 4 : 6 = 10 : 2 : 3

∴ The New Profit Sharing Ratio :

Pramod : Vinod : Rohan = 10 : 2 : 3