Q.6. A, B and C are partners sharing profits in 3:2:2 ratio. They admitted D as a new partner for 1/5

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 Q.6. A, B and C are partners sharing profits in 3:2:2 ratio. They admitted D as a new partner for 1/5 share which he acquired from A, B and C in 2:2:1 ratio respectively. Calculate new profit sharing ratio?

SOLUTION

A, B and C are partners sharing profits in ratio = 3:2:2

New Partner D’s share = 1/5 which he takes 1/5 in the ratio of 2:2:1 from A,B,C

A’s sacrifice = D’s share X 2/5

=1/5 X 2/5

=2/25

B’s sacrifice = D’s share X 2/5

= 1/5 X 2/5

=2/25

C’s sacrifice = D’s share X 1/5

=1/5 X 1/5

=1/25

New ratio = Old ratio – Sacrifice ratio

A = 3/7 – 2/25

= 61/175

B =2/7 – 2/25

=36/175

C =2/7 – 1/25

=43/175

D=1/5 X35

New Ratio = 61:36:43:35

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