Find new Profit-Sharing Ratio: (i) R and T are partners in a firm sharing profits in the ratio of 3:2. S joins the firm. R surrenders 1/4 th of his share and T surrenders 1/5 th of his share in favour of S. (ii) A and B are partners.They admit C for 1/4 th share. In future, the ratio between A and B would be 2:1. (iii) A and B are partners sharing profits and losses in the ratio of 3:2. They admit C for 1/5 th share in profit. C acquires 1/5 th of his share from A and 4/5 th share from B. (iv) X,Y and Z are partners in the ratio of 3:2:1. W joins the firm as a new partners for 1/6 th share in profits. Z would retain his original share. (v) A and B are equal partners. they admit C and D as partners with 1/5 th and 1/6 th share respectively. (vi) A and B are partners sharing profits/losses in the ratio of 3:2. C is admitted for 1/4 th share. A and B decide to share equally in future.
Answers
Answer:
(i) R's old share= 3/5
T's old share= 2/5
R's sacrifice= 3/5 × 1/4
= 3/20
T's sacrifice= 2/5 × 1/5
= 2/25
New Profit Sharing ratio of the partners:
R= 3/5-3/20
= 9/20
T= 2/5-2/25
= 8/25
S= 3/20 + 2/25
= 23/100
Therefore,
Profit sharing ratio= 45:32:23
(ii) A's old share= 1/2
B's old share= 1/2
C is admitted for 1/4th share
Remaining share= 1-[1/4]
= 3/4
New Ratio between A and B should be 2:1
Hence, A's new share= 2/3 × 3/4
= 6/12
B's new share= 1/3 × 3/4
= 3/12
New Profit sharing ratio= 6:3:3
= 2:1:1
(iii) A's old share= 3/5
B's old share= 2/5
C is admitted for 1/5th share in the profit.
A's sacrifice= 1/5 × 1/5
= 1/25
B's sacrifice= 1/5 × 4/5
= 4/25
New profit sharing ratio of the partners:
A's new share= 3/5-1/25
= 14/25
B's new share= 2/5-4/25
= 6/25
C's share= 1/5
Ratio= 14:6:5
(iv) X's old share= 3/6
Y's old share= 2/6
Z's old share= 1/6
W is admitted for 1/6th share. Since, Z would retain his original share;
Remaining share= 1-[1/6]-[1/6]
= 4/6
X's new share= 4/6 × 3/5
= 12/30
Y's new share= 4/6 × 2/5
= 8/30
New Profit sharing ratio= 12:8:5:5
(v) A's old share= 1/2
B's old share= 1/2
C and D are admitted for 1/5th and 1/6th share respectively.
Hence, remaining share= 1- [1/5]- [1/6]
= 19/30
A's new share= 1/2 × 19/30
= 19/60
B's new share= 1/2 × 19/30
= 19/60
New Profit Sharing ratio= 19:19:12:10
(vi) A's old share= 3/5
B's old share= 2/5
C is admitted for 1/4th share.
Remaining share= 1-[1/4]
= 3/4
Since, A and B will share equally, their ratio is 1:1
A's new share= 1/2 × 3/4
= 3/8
B's new share= 1/2 × 3/4
= 3/8
New Profit sharing ratio= 3:3:2
Explanation:
the total calculation of each some answer ratio's last answer is 3:3:2