Question

x y and z are partners sharing ratio of 5:3:3 cal new profit sharing ratio , sacrificing ratio, gaining ratio of z acquires 1/5 share of X and 1/6 share of y?

Answer 1

X's Ols ratio = 5/11

X/s Scarifies ratio = 5/11*1/5

=1/11

X's New ratio =5/11-1/11

=4/11

Y's old ratio =3/11

Y's scarifies ratio=3/11*1/6

=1/22

Y's new ratio =3/11-1/22

=(3/11*2/2)-1/22

=6/22-1/22

=5/22

Z's new ratio =1/11+1/22

=(1/11*2/2)+1/22

=2/22+1/22

=3/22

X's And Y's scarifie ratio =1:1

X's new ratio =4/11*2/2

=8/22

New ratio =8:5:3

Answer 2

Old ratio of x,y,z = 5:3:3 or 5/11, 3/11 , 3/11

Z acquires 1/5 of x and 1/6 of y

then the x's sacrifying ratio = 5/11 × 1/5 = 1/11

then y's sacrificing ratio = 3/11 × 1/6 = 1/22

Nowthe new profit shares =

x = 5/11 - 1/11 = 4/11

y = 3/11 - 1/22 = 6/22 - 1/22 = 5/22

z = sacrificing ratio of x + sacrificing ratio of y

= 1/11 + 1/22 = 2/22 + 1/22 = 3/22

x,y,z = 4/11 ,5/22, 3/22 = 8/22 ,5/22 ,3/22 = 8:5:3