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Do It Yourself · Q7

Q.Puja, Priya and Pratistha are partners sharing profits and losses in the ratio of 5 : 3 : 2. Priya retires. Her share is taken by Puja and Pratistha in the ratio of 2 : 1. Calculate the new profit-sharing ratio.

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New Share = Old Share + acquired portion of the retiring partner's share. Priya's 3/10 split in 2 : 1 adds 2/10 to Puja and 1/10 to Pratistha, giving a new ratio of 7 : 3.

Here the acquisition ratio is stated, so we first distribute the retiring partner's share to the continuing partners in that ratio and then add it to each one's old share to arrive at the new profit-sharing ratio.

Old shares (out of 10): Puja = 5/10, Priya = 3/10, Pratistha = 2/10.

Priya's retiring share = 3/10 is acquired in 2 : 1 (total 3 parts):

  • Puja's gain = 3/10 × 2/3 = 2/10
  • Pratistha's gain = 3/10 × 1/3 = 1/10

New shares: …

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