Question

A and B are partners sharing profit or loss in the ratio of 3 : 2. C is admitted into partnership as a new partner. A sacrifices 1/3 of his share of B sacrifices 1/4 of his share in favour of C. What will be the C’s share in the firm?​

Answer 1

Correct option is

C

5:3:2

Old ratio (A and B) = 3 : 2

C is admitted for 1/5 th share

A's sacrifice in favour of C = (1/5) * (1/2) = (1/10)

B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)

New ratio = Old ratio - Sacrificing ratio

A's new ratio = (3/5) - (1/10) = 5/10 or 1/5

B's new share = (2/5) - (1/10) = 3/10

C's share = A's sacrifice + B's sacrifice

= (1/10) + (1/10)

= 2/10

I hope it helps

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Answer 2

Answer:

Explanation:

Old ratio (A and B) = 3 : 2

Sacrificing ratio = Old ratio * surrender ratio

A's sacrifice = (3/5) * (1/3) = 3/15

B's sacrifice = (2/5) * (1/4) = 2/20

C's share = A's sacrifice + B's sacrifice

               = (3/15) + (2/20)

               = 1/10