Rajeev and Sanjeev are partners in a firm sharing profits and losses in the ratio of 3:2 respectively. They admitted Vijay as a new partner. Rajeev surrenders 1/4th of his share and Sanjeev surrenders 1/3rd of his share in favour of Vijay. Calculate the new profit sharing ratio between Rajeev, Sanjeev and Vijay.
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:
Answer:
Explanation:
Rajeev's sacrifice = 3/5 × 1/4 = 3/20
Sanjeev's sacrifice = 2/5 × 1/3 = 2/15
Sacrifice ratio = 3/20 : 2/15=
9/60 : 8/60 =9:8
New ratio = Old ratio - sacrifice ratio
Rajeev ratio = 3/5 - 3/20 = 12 - 3/20= 4/20= 12/60
Sanjeev Ratio = 2/5 - 2/15 = 6 -2 /15= 4/15= 16 /60
Vijay ratio = 9+ 8 /60= 17 /60
So the new ratio is 12: 16:17