Question

P & Q are partners in a firm sharing profits in the ratio of 3 : 2. They admit R as a
partner for 1/4th
share in the profits. R acquires his share from P & Q in the ratio of 2 : 1.
Calculate the new profit sharing ratio.​

Answer 1

The New Profit Sharing Ratio :

P : Q : R = 9 : 6 : 5

Explanation:

Solution :

Old Ratio :

P : Q = 3 : 2

• P's Share = 3/5

• Q's Share = 2/5

They admit R as a partner for 1/4th Share in the profits

Let,

Total Share of Profit = 1

So,

R's Share = 1/4

Remaining Share = 1 - 1/4 = 3/4

★ The New Profit Sharing Ratio :

• New Share of P =

3/4 × 3/5 = 9/20

• New Share of Q =

3/4 × 2/5 = 6/20

• R's Share = 1/4

1/4 = 5/20

New Profit Sharing Ratio :

• P : Q : R

• 9/20 : 6/20 : 5/20

P : Q : R = 9 : 6 : 5

∴ The New Profit Sharing Ratio :

P : Q : R = 9 : 6 : 5