Naveen, Suresh, and Tarun are partners sharing profits and losses in the ratio of 5:3:2 . Tarun retires from t

Question

Naveen, Suresh, and Tarun are partners sharing profits and losses in the ratio of 5:3:2 . Tarun retires from the firm, and his share is taken over by Naveen and Suresh in the ratio of 2:1 . Calculate the new profit-sharing ratio.

Accepted Answer

Let's calculate step by step:Old shares:

Naveen = \frac{5}{10}

,

Suresh = \frac{3}{10}

,

Tarun = \frac{2}{10}

Tarun's retiring share =

\frac{2}{10}

This share is divided between Naveen and Suresh in the ratio of

2 : 1

.Naveen's Gain:

Gain = \frac{2}{3} \times \frac{2}{10} = \frac{4}{30}

Suresh's Gain:

Gain = \frac{1}{3} \times \frac{2}{10} = \frac{2}{30}

New Shares:

Naveen’s New Share = Old Share + Gain = \frac{5}{10} + \frac{4}{30} = \frac{15 + 4}{30} = \frac{19}{30}

Suresh’s New Share = Old Share + Gain = \frac{3}{10} + \frac{2}{30} = \frac{9 + 2}{30} = \frac{11}{30}

Therefore, the new profit-sharing ratio between Naveen and Suresh is

19 : 11

.

Naveen, Suresh, and Tarun are partners sharing profits and losses in the ratio of $5 : 3 : 2$ . Tarun retires from the firm, and his share is taken over by Naveen and Suresh in the ratio of $2 : 1$ . Calculate the new profit-sharing ratio.

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Naveen, Suresh, and Tarun are partners sharing profits and losses in the ratio of 5:3:2. Tarun retires from the firm, and his share is taken over by Naveen and Suresh in the ratio of 2:1. Calculate the new profit-sharing ratio.