Question

Radha and Rukmani are partners in a firm sharing profits in 3:2 ratio. They admitted Gopi as a new partner. Radha surrendered `1//3` of her share in favour of Gopi and Rukmani surrendered `1//4` of her share in favour of Gopi. Calculate new profit sharing ratio?

Answer 1

Explanation:

Solution :

★ Old Ratio :

Radha : Rukmani = 3:2

• Radha's share = 3/5
• Rukmani's share = 2/5

They admitted Gopi as a new partner.

• Radha surrendered 1/3 of her share in favour of Gopi :

3/5 × 1/3 = 3/15

• Rukmani surrendered 1/4 of her share in favour of Gopi :

2/5 × 1/4 = 2/20

• Gopi's share = 3/15 + 2/20

(12 + 6)/60

18/60

New profit sharing ratio :

• Radha's new share =

3/5 - 3/15 = (9 - 3)/15

6/15

• Rukmani's new share =

2/5 - 2/20 = (8 - 2)/20

6/20

• Gopi's share = 18/60

New profit sharing ratio :

• Radha : Rukmani : Gopi
• 6/15 : 6/20 : 18/60
• 24/60 : 18/60 : 18/60

24 : 18 : 18 = 4 : 3 : 3

Therefore, New profit sharing ratio =

Radha : Rukmani : Gopi = 4 : 3 : 3.