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Kumar, Lakshya, Manoj and Naresh are partners sharing profits in the ratio of 3 : 2 : 1 : 4. Kumar retires and his share is acquired by Lakshya and Manoj in the ratio of 3:2. The gaining ratio of the remaining partners is .....?

Solution

✅ Correct Option: 2

The initial profit sharing ratio is:

Kumar : Lakshya : Manoj : Naresh = 3 : 2 : 1 : 4

Total parts = 10

Individual shares:

  • Kumar = 3/10
  • Lakshya = 2/10
  • Manoj = 1/10
  • Naresh = 4/10

When Kumar retires, his share of 3/10 is acquired by Lakshya and Manoj in the ratio 3:2.

Share gained by Lakshya = 310×35=950\frac{3}{10} \times \frac{3}{5} = \frac{9}{50}

Share gained by Manoj = 310×25=650\frac{3}{10} \times \frac{2}{5} = \frac{6}{50}

Share gained by Naresh = 0 (since only Lakshya and Manoj acquired Kumar's share)


Gaining Ratio = Lakshya : Manoj : Naresh

= 950:650:0\frac{9}{50} : \frac{6}{50} : 0

= 9 : 6 : 0

= 3 : 2 : 0

The gaining ratio represents only the additional share acquired by partners when a partner retires. Since Naresh didn't gain anything from Kumar's share, his gain is 0 in the gaining ratio.

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