Q1: (New Partner's is given but Sacrifices made by Old Partners are not given). A amd B are partners sharing profits in the ratio of 5:3 C is admitted for share in the profits. Calculate of New protit-sharing Ratio of the partners.
Ans: Calculation of New Profit-sharing Ratio:
Old Profit-sharing Ratio of A and B =
Let the total share =1, C's share = 1/4, Remaining share of A and B =
Distribute the remaining share of 3/4 in the old profit-sharing ratio of 5:3 between A and B.
A's New share = B's New share
Thus, New Profit-sharing Ratio of A and B
Since, only share of the new partner is given C acquires his share from A and B in their old profits. Calculate New ratio.
Q2: A, B and C were partners in a firm shaing profits in 3:2:1 ratio. They admitted D for 10% profits. Calculate New Profit-sharing Ratio.
Ans: D's share = Remaining share
Distribute the remaining share of among A,B and C in their old ratio of 3:2:1 A's New share = B's New share
C's New shareD's share
Thus, New Profit-sharing Ratio A, B,C and D
Q3: A and B are partners, They admit C for share. In future, profit-sharing ration between A and B would be 2: 1. Calculate New Profit-share Ratio.
Ans: Let the total share=1
Share of incoming partner C = 1/4 Remaining share
Existing parners' shares are being calculated by dividing remaining share in their future profit-share ratio (i.e., 2:1) as under.
A's New shareB's New share
Thus, New Profit=sharing Ratio of A, B and C
Q4: A and B are partners sharing profits in the ratio of 5 : 4. They admit C for a share of profits which he acquires, in equal proportions from both. Find the new profit-sharing ration.
Ans: C's share of profit in the firm is 1/10 which he acquires from A and B in equal proportions.
It means A has surrendered
B has surrendered
New Share = Old Share-Share surrendered
A's New Share
B's New Share
C's Share
Thus, New Porfit-sharing Ratio of A, B and C
Q5: Naresh and Namit are partners sharing porfits in the ratio of 2:1. They admit Nimesh into partnership of 25% share of profit. Nimesh acquired the share from old partners in the ratio of 3:2. Calculate New Profit-sharing Ratio.
Ans: Nimesh gets from Naresh
from Namit he gets
Nimesh's Share = Old Share-Share Surrendered
∴ New Share of Neresh
New Share of Namit
Share of Nimesh Thus, New Profit-sharing Ratio
Q6: (Old Partners Sacrifice Fraction of their Shares in Favour of New Partner).
A and B are partners in a firm sharing profits and losses in the ration of 3:2 A surrenders of his share, whereas B surrenders of his share in favour of C, the new partner. Calculate new profit-sharing ratio.
Ans: A's share = 3/5, A surrenders in favour of C =
B's share = 2/5, B surrenders in favour of C =
New Share =Old Share-Share surrendered
So, A's New share =
So, B's New share =
C's share is the sum of shares surrendered by A and B
Thus, New Profit-sharing Ratio A, B and C
Q7: On 1st April 2010m Sahil and Charu entered into partnership for sharing profit in the ratio of 4:3. They admitted Tanu as a new partner on 1st April, 2012 of 1/5th share which she acquired equally from Sahil and Charum Charu and Tanu earned profits at a higher rate than the normal rate of return for the year ended 31st March, 2013. Therefore, they decided to expand their business. To meet the requirments of additonal capital, they admitted Puneet as a new partner on 1st April, 2013 for 1/7th share in profit which he acquried from Sahil and Charu in 7 : 3 ratio.
Calculate:
(i) New profit-sharing ration of Sahil, Charu and Tanu for the year 2012 13
(ii) New profit-sharing ratio of Sahil, Chaur, Tanu and Puneet on Puneet's admission.
Ans: (i) Calculation of New Profit-sharing Ratio of Sahil, Charu and Tanu for th year 2012-13:
Sahil's Old Share = 4/7
Sahil surrenders in favour of Tanu
Sahil's New Share
Chaur's Old Share
Charu surrenders in favour of Tanu
Charu's New Share
Tanu's share
Thus, New Profit-sharing Ratio among Sahil, Charu and Tanu
(ii) New Profit-sharing Ratio of Sahil, Charu, Tanu and Puneet on Puneet's Admission:
Sahil's Old Share
Sahil surrenders in favour of Puneet
Sahil's New Share
Charu's Old Share
Tanu's share remains the same, i.e.,
Tanu's share remains the same, i.e.,
Thus, New Profit-sharing Ratio among Partners
Sahil : Charu : Tanu : Puneet = 13 : 10 : 7 : 5.
Q8: L and M are partners in a firm sharing profits in the ratio of 5: 3. They admit N decide that the profit-shareing ratio between M and N shall be same as existing between L and M. Calculate new profit-sharing ratio and the sacrificing ratio.
Ans: As the ratio of L and M is 5 : 3. Ratio of M and N should be 5 : 3.
Since M's share is 60% of L's share
Thus, N's share is 60% of 3=1.8.
New Ratio of L, M and N =5:3:1.8 or 25:15:9.
Calculation of Sacrificing Ratio:
Share sacrificed=Old Share - New Share
L's sacrificeM's sacrifice
Thus, sacrificing Ratio of L and M
Q9: (Old Partners sacrifice Fraction of their Shares in Favour of New Partner).
A and B are partners in a firm sharing profits and losses in the ration of 5 : 3. A surrenders 1/20th of this share, whereas B surrenders 1/24th of his share in favour of C, a new partner. Calculate new profit-sharing ration and the sacrificing ratio.
Ans: A's share A surrenders in favour of
So, A's New share =
B's share = 3/8, B surrrenders in favour of
B's New share C's Share
Thus, New Profit-sharing Ratio of A, B and C
Sacrificing Ratio of A and B
Q10: (New profit-sharing Ratio of all Partners is given).
A and B are partners sharing profits in the ratio of 3 : 2. C is admitted into partnership. New profit-shareing ratio among A, B and C is 5: 3 : 2. Find the sacrificing ratio.
Ans: Sacrifice of share =Old share - New share
A's old share 3/5, A's new share = 5/10, thus, A's sacrifice is
A's old share = 2/5, B's new share = 3/10, thus, B's sacrifice is
Hence, Sacrificing Ratio of A and B