X, Y and Z are partners sharing profits in the ratio of 2 : 2 : 1. W is admitted as a new partner for `(1)/(6)th` share. Z will retain his share. Calculate new profit-sharing ratio.

Explanation

Let the total share of the firm =1
Share of Z ans W `=(1)/(5)+(1)/(6)=(6+5)/(30)=(11)/(30)`
Remaining share `=1-11//30=19//30`
New shares of X and Y are calculated by dividing th remaining share in their profit-sharing ratio, i.e., 2: 2 or 1 : 1 as under:
X's New Share `=19//30xx1//2=19//60`, Y's New Share `=19//30xx1//2=19//60` Thus, New Profit- shairng Ratio of X, Y, Z and `W=19//60:19//60:1//5:1//6=19:19:12:10`.