Question

A and B are partners sharing profits and losses in the ratio of 3:2. They admitted Mr c into partnership firm for 1/5 share in which he acquired in the proportion of 2/15 and 1/15 from A and B. calculate new profit sharing of A and B.​

Answer 1

Answer:

7:5:3

Explanation:

A'S OLD RATIO = 3/5 A SACRIFICE IN FAVOR OF C = 2/15

SO A'S NEW SHARE =3/5-2/15 = 35/75

B'S OLD RATIO = 2/5 B SACRIFICE IN FAVOR OF C = 1/15

SO B'S NEW SHARE = 2/5-1/15 = 25/75

C,S NEW SHARE = 2/15+1/15= 3/15

NEW RATIO = 35:25:15

                   = 7:5:3

Answer 2

New Profit Sharing Ratio of A,B and C = 7 : 5 : 3

Explanation:

★ Old Ratio :

A : B = 3 : 2

• A's Share = 3/5
• B's Share = 2/5

They admitted Mr C into partnership firm for 1/5 share.

In which he acquired in the proportion of 2/15 and 1/15 from A and B.

• A's Sacrifice = 2/15 (for C)
• B's Sacrifice = 1/15 (for C)

★ New Profit Sharing Ratio :

• A's New share = 3/5 - 2/15

= (9 - 2)/15

= 7/15

• B's New Share = 2/5 - 1/15

= (6 - 1)/15

= 5/15

• C's Share =

= 1/5 = 3/15

New Profit Sharing Ratio =

• A : B : C
• 7/15 : 5/15 : 3/15

= 7 : 5 : 3

Therefore, New Profit Sharing Ratio of A,B and C = 7 : 5 : 3