Question

3. 'A', 'B' and 'C' are partners sharing profits and losses in the proportion of 2/8th, 3/8th and 3/8th. They admit 'D' for 1/4th share. Calculate the new profit sharing ratio of all partners.
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Answer 1

Answer:

New profit sharing ratio of A,B,C and D = 6 : 9 : 9 : 8

Explanation:

Solution :

★ Old Ratio :

A : B : C = 2 : 3 : 3

• A's share = 2/8
• B's share = 3/8
• C's share = 3/8

They admit 'D' for 1/4th share.

• D's share = 1/4

Let,

Total Profit of all Partners = 1

• D's share = 1/4

Remaining share =

1 - 1/4 = 3/4

★ New profit sharing ratio :

• A's new share =

⇒ 2/8 × 3/4 = 6/32

• B's new share =

⇒ 3/8 × 3/4 = 9/32

• C's new share =

⇒ 3/8 × 3/4 = 9/32

• D's share =

⇒ 1/4 = (1 × 8)/(4 × 8)

⇒ 8/32

New profit sharing ratio =

• A : B : C : D
• 6/32 : 9/32 : 9/32 : 8/32

⇒ 6 : 9 : 9 : 8

Therefore, New profit sharing ratio of A,B,C and D = 6 : 9 : 9 : 8