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

Question

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

Accepted Answer

Let's calculate step by step:Arun's total share =

\frac{1}{5}

Share surrendered by Abhiram =

\frac{1}{2} \times \frac{1}{5} = \frac{1}{10}

Share surrendered by Ragini =

\frac{1}{2} \times \frac{1}{5} = \frac{1}{10}

Abhiram's New Share:

New Share = Old Share - Sacrifice = \frac{3}{5} - \frac{1}{10} = \frac{6 - 1}{10} = \frac{5}{10}

Ragini's New Share:

New Share = Old Share - Sacrifice = \frac{2}{5} - \frac{1}{10} = \frac{4 - 1}{10} = \frac{3}{10}

Arun's Share:

Share = \frac{1}{5} = \frac{2}{10}

Combining these gives the new ratio:

5 : 3 : 2

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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 a $\frac{1}{5} th$ share in the future profits of the firm. Arun acquires this share 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 a 51​th share in the future profits of the firm. Arun acquires this share equally from Abhiram and Ragini. Calculate the new profit-sharing ratio of Abhiram, Ragini, and Arun.