S, B and J were partners in a firm. T was admitted as a partner in the partnership firm for 1/15th share of profits. Calculate the sacrificing ratio of S, B and J.
Old ratio: S: J: B = 1: 1: 1 T is admitted for 1/5 share Let the total Profit of firm be 1 Remaining share of the SJB after T’s admission = 1-1/5 = 5-1/5 = 4/5
New share; S = 4/5 × 1/3 = 4/15 S = 4/5 × 1/3 = 4/15 S = 4/5 × 1/3 = 4/15 T = 1/5 × 3/3 = 3/15 New profit-sharing ratio of all partners S: J: B: T = 4: 4: 4: 3
Sacrificing ratio= Old – new S = 1-3-4/15 = 5-4/15 = 1/15 J = 1-3-4/15 = 5-4/15 = 1/15 B = 1-3-4/15 = 5-4/15 = 1/15 Sacrificing ratio of S: J: B= 1: 1: 1
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