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Murli, Naveen and Omprakash are partners sharing profits in the ratio of 3 /8 , 1/2 and 1/8 . Murli retires and surrenders 2/3rd of his share in favour of Naveen and the remaining share in favour of Omprakash. The gaining ratio of the remaining partners is-

Solution

✅ Correct Option: 2

Initial profit sharing ratio:

Murli : Naveen : Omprakash = 38\frac{3}{8} : 12\frac{1}{2} : 18\frac{1}{8}

Converting to simple ratio: 38\frac{3}{8} : 48\frac{4}{8} : 18\frac{1}{8} = 3 : 4 : 1

Murli's share = 38\frac{3}{8}


When Murli retires, he surrenders his share as follows:

  • 23\frac{2}{3}rd of his share → Naveen
  • Remaining 13\frac{1}{3}rd → Omprakash

Share gained by Naveen = 23×38=624=14\frac{2}{3} \times \frac{3}{8} = \frac{6}{24} = \frac{1}{4}

Share gained by Omprakash = 13×38=324=18\frac{1}{3} \times \frac{3}{8} = \frac{3}{24} = \frac{1}{8}


Gaining Ratio = Share gained by Naveen : Share gained by Omprakash

= 14\frac{1}{4} : 18\frac{1}{8}

= 28\frac{2}{8} : 18\frac{1}{8}

= 2 : 1

The gaining ratio represents the proportion in which the remaining partners acquire the retiring partner's share. Here, for every 2 parts gained by Naveen, Omprakash gains 1 part.

Correct Option: 2

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