Question

A and s are partners in a firm sharing profit in the ratio of 3:2.they admitted C a new partner for 1/4th share. The new profit sharing ratio between A and s will be 2:1 .calculate their sacrificing ratio.

Answer 1

Answer:

Sacrificing ratio of A:S = 2 : 3

Explanation:

Let the Overall Profit among the partners A and S in the firm = 1.

Initial profit ratio of A and S = 3 : 2

So, A's initial share = 3/5

S's initial share = 2/5

If a new partner C joins for 1/4th share,

then the remaining share of the total will be 1-1/4 = 3/4

If new share ratio of A ans S s 2 : 1, then,

New share of A = 2/3 * 3/4 = 6/12 = 1/2

New share of S = 1/3 * 3/4 = 3/12 = 1/4

Share of C = 1/4

Therefore, new profit ratio of A.S.B will be 1/2 : 1/4 : 1/4

New Profit Ratio : 2 : 1 : 1

Sacrifice will be old share - new share.

A's sacrifice = 3/5 - 1/2  = 2/20

S's sacrifice = 2/5 - 1/4 =  3/20

Sacrificing ratio of A:S = 2 : 3