Skip to main contentSkip to solution

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 profit sharing ratio will be:

Solution

✅ Correct Option: 2

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

Total parts = 5 + 3 + 2 = 10

Individual shares:

  • Naveen = 510\frac{5}{10}
  • Suresh = 310\frac{3}{10}
  • Tarun = 210\frac{2}{10}

When Tarun retires, his share of 210\frac{2}{10} is acquired by Naveen and Suresh in the ratio 2:1.

Tarun's share acquired by Naveen = 23×210=430\frac{2}{3} \times \frac{2}{10} = \frac{4}{30}

Tarun's share acquired by Suresh = 13×210=230\frac{1}{3} \times \frac{2}{10} = \frac{2}{30}


New profit sharing ratio:

Naveen's new share = Original share + Share acquired from Tarun

= 510+430\frac{5}{10} + \frac{4}{30} = 1530+430\frac{15}{30} + \frac{4}{30} = 1930\frac{19}{30}

Suresh's new share = Original share + Share acquired from Tarun

= 310+230\frac{3}{10} + \frac{2}{30} = 930+230\frac{9}{30} + \frac{2}{30} = 1130\frac{11}{30}


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

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question