The correct answer is 12 : 13Important PointsOld ratio (A, B and C) = 1/5 : 1/3 : 7/15 Therefore, A : B : C = 3/15 : 5/15 : 7/15 C retires and his share is taken up by A and B in the ratio of 3 : 2Share of C = 7/15Share of C taken by A = (7/15) × (3/5) = 7/25Share of C taken by B = (7/15) × (2/5) = 14/75New ratio = Old ratio + Share taken from CA's new share = (3/15) + (7/25) = 15/75 + 21/75 = 36/75B's new share = (5/15) + (14/75) = 25/75 + 14/75 = 39/75Therefore, the new share of A and B is 36:39 = 12:13. A, B and C are partners in the ratio of 1/5 : 1/3 : 7/15 . C retires and his share is taken up by A and B in the ratio of 3 : 2. The new profit-sharing ratio will be 12:13.