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A and B are partners sharing profits in the ratio of 3:2. They admit C for 1/5th share in the future profits which he gets equally from both A and B. The new profit sharing ratio will be:

Solution

✅ Correct Option: 2

Old Profit Sharing Ratio of A and B = 3:2

Total parts = 3 + 2 = 5

A's old share = 35\frac{3}{5}

B's old share = 25\frac{2}{5}


C is admitted for 15\frac{1}{5} share which he gets equally from both A and B.

This means both A and B sacrifice equal amounts to accommodate C.

C's share = 15\frac{1}{5}

Since C takes equally from both:

  • A's sacrifice = 15×12=110\frac{1}{5} \times \frac{1}{2} = \frac{1}{10}
  • B's sacrifice = 15×12=110\frac{1}{5} \times \frac{1}{2} = \frac{1}{10}

Calculating New Shares:

A's new share = 35−110=610−110=510\frac{3}{5} - \frac{1}{10} = \frac{6}{10} - \frac{1}{10} = \frac{5}{10}

B's new share = 25−110=410−110=310\frac{2}{5} - \frac{1}{10} = \frac{4}{10} - \frac{1}{10} = \frac{3}{10}

C's new share = 15=210\frac{1}{5} = \frac{2}{10}

New Profit Sharing Ratio = A : B : C = 5/10 : 3/10 : 2/10

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