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Illustrations · Illustration 4

Q.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. Calculate the new profit sharing ratio and gaining ratio of the remaining partners.

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Lakshya and Manoj gain in 3 : 2; Naresh gains nothing. New shares work out to 19/50, 11/50 and 20/50, so the new ratio is 19 : 11 : 20 and the gaining ratio is 3 : 2 : 0.

Concept

A continuing partner who does not acquire any part of the retiring partner's share keeps exactly his old share; his gaining share is zero.

Solution

Old shares (out of 10): Lakshya 2/10, Manoj 1/10, Naresh 4/10. Kumar's 3/10 is acquired by Lakshya and Manoj in 3 : 2.

  • Lakshya acquires = 3/5 × 3/10 = 9/50; new = 2/10 + 9/50 = 10/50 + 9/50 = 19/50
  • Manoj acquires = 2/5 × 3/10 = 6/50; new = 1/10 + 6/50 = 5/50 + 6/50 = 11/50 …

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