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 : 1
  • b)
    Sacrificing ratio 2 : 1
  • c)
    A’s Sacrifice 6/15 and B’s Gain 3/15
  • d)
    Sacrificing ratio 3 : 5
Correct answer is 'C'. Can you explain this answer?

Commerce Question

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

Svareen answered 3 weeks ago
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 share1/3×4/5=4/15 b's new share 2/3×4/5=8/15 share sacriced by a =2/3-4/15=6/15 sacrifice by b=1/3-8/15=-3/5=gain3/5

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