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B and C are partners sharing profits in ratio of 3:2:1. They agree to admit D into the firm, A, B and Cagreed to give 1/3rd, 1/6th, 1/9th share of their profit. The share of profit of D will

Question

B and C are partners sharing profits in ratio of 3:2:1. They agree to admit D into the firm, A, B and Cagreed to give 1/3rd, 1/6th, 1/9th share of their profit. The share of profit of D will

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Solution

The question seems to be incomplete as the profit sharing ratio for A is not mentioned. However, assuming that A, B, and C are partners sharing profits in the ratio of 3:2:1, and they agree to admit D into the firm by giving 1/3rd, 1/6th, and 1/9th of their respective shares, the share of profit for D can be calculated as follows:

  1. Calculate the total share of A, B, and C which is 3+2+1 = 6.
  2. Calculate the share of D from each partner:
    • From A = 1/3 * 3/6 = 1/6
    • From B = 1/6 * 2/6 = 1/18
    • From C = 1/9 * 1/6 = 1/54
  3. Add up all the fractions to get D's share: 1/6 + 1/18 + 1/54 = 9/54 + 3/54 + 1/54 = 13/54

So, D's share of the profit will be 13/54 of the total profit.

This problem has been solved

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