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A and B are partners in a firm sharing profits and losses in the ratio of 1:1. C is admitted. A surrenders 14th share and B surrenders 15th of his share in favor of C. Calculate the new profit

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Question

A and B are partners in a firm sharing profits and losses in the ratio of 1:1. C is admitted. A surrenders `1/4`th share and B surrenders `1/5`th of his share in favor of C. Calculate the new profit sharing ratio.

Sum
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Solution

Old ratio of A and B = 1 : 1 or `1/ 2:1/ 2`

A’s sacrifice =`1/4xx1/2=1/8`

B’s sacrifice =`1/5 xx 1/2 = 1/10`

Sacrificing ratio of A and B =`1/8 : 1 /10`= 5 : 4

C’s share = A’s share + B’s share

= `1/8+ 1/10 = (5 + 4)/40= 9/40`

A’s new share = Old ratio – Sacrifice ratio

= `1/2 – 1/8 =(4 – 1)/8=3/8`

B’s new share = Old ratio – Sacrifice ratio

=`1/2 –1/10 = (5 – 1)/10 = 4/10`

Therefore, New ratio of A, B and C

= `3/8:4/10:9/40` 

= 15 : 16 : 9

(Making denominator equal)

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Chapter 3: Reconstitution of Partnership (Admission of Partner) - Exercise 3.1 (Objective Type Questions) [Page 160]

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Balbharati Book-Keeping and Accountancy [English] Standard 12 Maharashtra State Board
Chapter 3 Reconstitution of Partnership (Admission of Partner)
Exercise 3.1 (Objective Type Questions) | Q 1. (E) 1. | Page 160

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