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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 was taken over by Naveen and suresh in the ratio 2:1. In such a case, the new share of profit will be .

Solution

✅ Correct Option: 2

The old profit sharing ratio is Naveen : Suresh : Tarun = 5:3:2

Converting to fractions:

  • Naveen's share = 510\frac{5}{10} = 12\frac{1}{2}
  • Suresh's share = 310\frac{3}{10}
  • Tarun's share = 210\frac{2}{10} = 15\frac{1}{5}

When Tarun retires, his share of 15\frac{1}{5} is acquired by Naveen and Suresh in the ratio 2:1.

Naveen acquires = 23\frac{2}{3} of Tarun's share = 23×15\frac{2}{3} \times \frac{1}{5} = 215\frac{2}{15}

Suresh acquires = 13\frac{1}{3} of Tarun's share = 13×15\frac{1}{3} \times \frac{1}{5} = 115\frac{1}{15}


New shares after Tarun's retirement:

Naveen's new share = 12+215\frac{1}{2} + \frac{2}{15} = 1530+430\frac{15}{30} + \frac{4}{30} = 1930\frac{19}{30}

Suresh's new share = 310+115\frac{3}{10} + \frac{1}{15} = 930+230\frac{9}{30} + \frac{2}{30} = 1130\frac{11}{30}


New profit sharing ratio = Naveen : Suresh = 1930:1130\frac{19}{30} : \frac{11}{30} = 19:11

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