X and Y are partners sharing profits and losses in the ratio of 3 : 2. They admit Z as a new partner who gets 1/5th share. Calculate the new profit sharing ratio in each of the following cases

X and Y are partners sharing profits and losses in the ratio of 3 : 2. They admit Z as a new partner who gets 1/5th share. Calculate the new profit sharing ratio in each of the following cases:

(i) If Z acquires his share from X and Y in their profit sharing ratio; (ii) If he acquires 3/20th from X and 1/20th from Y; (iii) If he acquires 1/10th from X and 1/10th from Y; (iv) If he acquires 1/20th from X and 3/20th from Y; (v) If he acquires his share entirely from X; (vi) If he acquires his share entirely from Y.

[Ans. (i) 12 : 8 : 5; (ii) 9 : 7 : 4; (iii) 5 : 3 : 2; (iv) 11 : 5 : 4; (v) 2 : 2 : 1 and (vi) 3 : 1 : 1.]