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

Solution

✅ Correct Option: 3

Old Profit Sharing Ratio:

Naveen : Suresh : Tarun = 5 : 3 : 2

Total parts = 5 + 3 + 2 = 10

Suresh's share = 310\frac{3}{10}


When Suresh retires, his share of 310\frac{3}{10} is taken by Naveen and Tarun in the ratio 2:1.

Gain from Suresh's share:

Naveen's gain = 23×310=210\frac{2}{3} \times \frac{3}{10} = \frac{2}{10}

Tarun's gain = 13×310=110\frac{1}{3} \times \frac{3}{10} = \frac{1}{10}


New Profit Sharing Ratio:

Naveen's new share = Old share + Gain = 510+210=710\frac{5}{10} + \frac{2}{10} = \frac{7}{10}

Tarun's new share = Old share + Gain = 210+110=310\frac{2}{10} + \frac{1}{10} = \frac{3}{10}

Therefore, New ratio = 710:310\frac{7}{10} : \frac{3}{10} = 7 : 3

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