Question

x,y and z are partners in the ratio of 3:5:1 respectively. Y retire. His share is purchased by Z find the new profit sharing ratio.
a)1:2 b)1:3 c)1:4 d) none of these​

Answer 1

Answer:

1:2

Explanation:

x:y:z=3:5:1

3x:5x:x

3x:5x+x=3x:6x

=1x:2x

=1:2

Answer 2

GIVEN :  X:Y:Z are partners and ratio is 3:5:1

TO FIND : New profit sharing ratio after Y's retirement

SOLUTION :

As when any partner is admitted or is retired the partnership firm is revalued and the profit sharing ratio of partners alos change .

Y  is retiring from the partnership and his share is purchased by Z , so we will add Y's share in Z's share .

X's  old share = $\frac{3}{9}$

Y's old share = $\frac{5}{9}$

Z's old share = $\frac{1}{9}$

X's new share = $\frac{3}{9}$ or $\frac{1}{3}$

Z's new share = His old share + Y's share

                        = $\frac{1}{9}$ + $\frac{5}{9}$

                        =  $\frac{6}{9}$ or $\frac{2}{3}$

New profit sharing ratio of X and Z is 1 : 2 and option A is correct.