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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 2:1. The new profit sharing ratio is

Solution

✅ Correct Option: 2

Old profit sharing ratio of Naveen, Suresh and Tarun = 5:3:2

When Suresh retires, his share needs to be distributed between the remaining partners Naveen and Tarun.

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

This share is acquired by Naveen and Tarun in the ratio 2:1.

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 share of Naveen = Old share + Gain from Suresh's share

= 510+210=710\frac{5}{10} + \frac{2}{10} = \frac{7}{10}

New share of Tarun = Old share + Gain from Suresh's share

= 210+110=310\frac{2}{10} + \frac{1}{10} = \frac{3}{10}


New profit sharing ratio = 710:310\frac{7}{10} : \frac{3}{10} = 7:3

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