P, Q and R are in partnership sharing profits and losses as 1/2, 2/6 and 1/6 respectively. R retires and his share is taken by P and Q in the ratio of 2 : 1

P, Q and R are in partnership sharing profits and losses as 1/2, 2/6 and 1/6 respectively. R retires and his share is taken by P and Q in the ratio of 2 : 1. Immediately, S is admitted for 1/4th share of profit, 1/3rd of which was given by P and the remaining share was taken equally from P and Q. Calculate new profit sharing after S’s admission.

[Ans. New Profit Sharing Ratio of P, Q and S = 16 : 11 : 9.]