12th Class Accountancy Admission of a Partner Question Bank MCQs - Reconstitution Of a Partnership Firm : Admission of a Partner

A, B and C are partners sharing profits in ratio of 3 : 2 :1. They agree to admit D into the firm. A, B and C agreed to give 1/3rd, 1/6th and 1/9th share of their profit. The share of profit of D will be:

A) \[\frac{1}{10}\]

B) \[\frac{11}{54}\]

C) \[\frac{12}{54}\]

D) \[\frac{13}{54}\]

Correct Answer: D

Solution :

[d] \[\frac{13}{54}\]

Hint: A sacrifice =\[\frac{3}{6}\times \frac{1}{3}=\frac{1}{6}\]

B sacrifice=\[\frac{2}{6}\times \frac{1}{6}=\frac{1}{18}\]

C sacrifice =\[\frac{1}{6}\times \frac{1}{9}=\frac{1}{54}\]

D's share =\[\frac{1}{6}+\frac{1}{18}+\frac{1}{54}\]

= \[\frac{9+3+1}{54}=\frac{13}{54}\]