Question

Q.6. 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.)​

Answer 1

1. Explanation:

1 -1/5 =4/5

X. 3/5×4/5=12/25

Y. 2/5×4/5=8/5

Z. 1/5

12/25 ,8/5 ,1/5

12,8,1/25

=12:8:5

2. X. 3/5-3/20=12-3/20=9/20

Y. 2/5-1/20=8-1/20=7/20

Z. 1/5

9/20,7/20,1/5

9, 7, 1/20

9:7:4

3. X. 3/5-1/10=6-1/10=5/10

Y. 2/5-1/10=4-1/10=3/10

Z. 1/5

5/10,3/10,1/5

5,3,1/10

5:3:2

4. X. 3/5-1/20=12-1/20=11/20

Y. 2/5-3/20=8-3/20=5/20

Z. 1/5

11/20,5/20,1/5

11,5,1/20

11:5:4