Abhiram and Ragini are partners sharing profits in the ratio of 3:2 . They admit Arun as a new partner for 1/5

Question

Abhiram and Ragini are partners sharing profits in the ratio of 3:2 . They admit Arun as 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.

Accepted Answer

Let's calculate the sacrifice made by old partners and find the new ratio step-by-step:1. Arun's Share:

Arun’s share = \frac{1}{5}

2. Share acquired from Abhiram and Ragini equally:

Sacrifice by Abhiram = \frac{1}{5} \times \frac{1}{2} = \frac{1}{10}

Sacrifice by Ragini = \frac{1}{5} \times \frac{1}{2} = \frac{1}{10}

3. New Share of Abhiram:

Old share = \frac{3}{5}

New share = Old share - Sacrifice

New share = \frac{3}{5} - \frac{1}{10} = \frac{6 - 1}{10} = \frac{5}{10}

4. New Share of Ragini:

Old share = \frac{2}{5}

New share = \frac{2}{5} - \frac{1}{10} = \frac{4 - 1}{10} = \frac{3}{10}

5. New Share of Arun:

Arun’s share = \frac{1}{5} = \frac{2}{10}

Comparing the final ratios:

Abhiram : Ragini : Arun = \frac{5}{10} : \frac{3}{10} : \frac{2}{10} = 5 : 3 : 2

Abhiram and Ragini are partners sharing profits in the ratio of $3 : 2$ . They admit Arun as a new partner for $\frac{1}{5} th$ 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.

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Abhiram and Ragini are partners sharing profits in the ratio of 3:2. They admit Arun as a new partner for 51​th 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.