Question

a and b were partners in a firm sharing profit and losses in the ratio of 3:2they admitted c into the partnership with 1/6th share in the profit calucate the new profit sharing ratio
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Answer 1

Answer:

A:B:C=3:2:1

Explanation:

C is admitted for 1/6th share

Remaining share= 1-[1/6]

                          = 5/6

A=3/5*5/6

  =3/6

B=2/5*5/6

  =2/6

C=1/6

A:B:C=15:10:5

=3:2:1

Answer 2

Explanation:

Solution :

★ Old Ratio :

A : B = 3:2

• A's Share = 3/5
• B's Share = 2/5

They admitted C into the partnership with 1/6th share in the profit

Let,

Total Profit of firm = 1

• C's Share = 1/6

Remaining Share =

1 - 1/6 = 5/6

★ New profit sharing ratio :

• A's new share =

5/6 × 3/5 = 15/30

• B's new share =

5/6 × 2/5 = 10/30

• C's share =

1/6 × 5/5 = 5/30

New profit sharing ratio =

• A : B : C
• 15/30 : 10/30 : 5/30

15 : 10 : 5 = 3 : 2 : 1

Therefore, The new profit sharing ratio of A,B and C = 3 : 2 : 1.