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Abhiram and Ragini are partners sharing profits in the ratio of 3:2. They admit Arun a new partner for 1/5th share in the future profits of the firm which he gets equally from Abhiram and Ragini. Calculate the new profit sharing ratio of Abhiram, Ragini and Arun.

Solution

✅ Correct Option: 2

Old profit sharing ratio of Abhiram and Ragini = 3:2

Converting to fractions:

  • Abhiram's old share = 35\frac{3}{5}
  • Ragini's old share = 25\frac{2}{5}

Arun is admitted for 15\frac{1}{5} share, which he gets equally from both partners.

Each partner's sacrifice = 15÷2=110\frac{1}{5} \div 2 = \frac{1}{10}


Calculating new shares:

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

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

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


New profit sharing ratio = 510:310:210\frac{5}{10} : \frac{3}{10} : \frac{2}{10} = 5:3:2

The correct option is Option 2: 5:3:2

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