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# A and B are partners in a firm sharing profits in the ratio of 2 : 1. They admit C as a new partner for 1/5 share. New Ratio of A and B will be 1 : 2. Sacrificing ratio will be:a)Sacrificing ratio 1 : 1b)Sacrificing ratio 2 : 1c)A’s Sacrifice 6/15 and B’s Gain 3/15d)Sacrificing ratio 3 : 5Correct answer is 'C'. Can you explain this answer? Related Test: Test: Admission Of A Partner - 1

## Commerce Question

By Sidhu Sanam · Jun 17, 2018 ·Commerce
Rishita Jain answered Jan 06, 2020
If we have already new ratio then why we have to find old plzz explain

Calculation of sacrificing ratio of partners:
Old Ratio = 2:1
New Ratio of A and B = 1:2
New Ratio of A, B and C will be : 1 – 1/5 = 4/5
A’s new share = 1/3 × 4/5 = 4/15
B’s new share = 2/3 × 4/5 = 8/15
C’s Share 1/5 OR 3/15
New Ratio 4 : 8: 3
Sacrificing Ratio = A : 2/3 – 4/15= 6/15
B : 1/3 – 8/15 = 3/15 Gain

Swarnim Sharma answered Jun 19, 2018
Old profit sharing ratio=2:1 c's share=1/5 New ratio of A and B=1:2 let total profit be 1. Remained profit after c's share=1-1/5=4/5. 4/5 profit will be shared by A and B in their new ratio of 1:2 A's new share=1/3^4/5=4/15. B's new share=2/3^4/5=8/15. A's sacrificing share=old share -new share 2/3-4/15=6/15. B's sacrificing share=1/3-8/15=-3/15(gain). Hence,A will have to sacrifice while B have to gain. Therefore answer for this question will be 'C'.

Manik Sodhi answered Jun 19, 2018
Old ratio 2:1 c's share1/5 remaining share1-1/5=4/5 new ratio between a and b 1:2 a's new share1/3Ã—4/5=4/15 b's new share 2/3Ã—4/5=8/15 share sacriced by a =2/3-4/15=6/15 sacrifice by b=1/3-8/15=-3/5=gain3/5

Sidhu Sanam answered May 27, 2018
C