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A, B, C are partner sharing profit in ratio of 3:2:1 they agree to admit D into the firm A, B, C agreed to give 1/3rd, 1/6th, 1/9th share of their profit. The share of profit of D will be?
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A, B, C are partner sharing profit in ratio of 3:2:1 they agree to adm...
Given Information:
- Partners A, B, C share the profit in the ratio 3:2:1.
- They agree to admit partner D into the firm.
- A, B, C agree to give 1/3rd, 1/6th, and 1/9th share of their profit to D.

Calculating the Share of Profit for Each Partner:
To calculate the share of profit for each partner, we need to determine the total profit and then divide it according to the given ratios.

Step 1: Determining Total Profit:
Let's assume the total profit is P.

The given ratio of A, B, C is 3:2:1, which can be simplified to 9:6:3.
So, the share of A is (9/18)P, the share of B is (6/18)P, and the share of C is (3/18)P.

The sum of their shares is (9/18)P + (6/18)P + (3/18)P = (18/18)P = P.

Therefore, the total profit is P.

Step 2: Calculating the Share of D:
According to the agreement, A, B, C give 1/3rd, 1/6th, and 1/9th share of their profit to D.

The share of A given to D is (1/3) * (9/18)P = (3/18)P.
The share of B given to D is (1/6) * (6/18)P = (1/18)P.
The share of C given to D is (1/9) * (3/18)P = (1/54)P.

Therefore, the total share of D is (3/18)P + (1/18)P + (1/54)P = (10/54)P.

Final Answer:
The share of profit for partner D is (10/54)P.

Conclusion:
Partner D will receive a share of (10/54)P in the profit, as agreed upon by partners A, B, and C.
Community Answer
A, B, C are partner sharing profit in ratio of 3:2:1 they agree to adm...
A's sacrifice= 3/6*1/3 = 3/18
B's = 2/6*1/6= 1/18
C's= 1/6*1/9=1/54
D's share of profit = 3/18+1/18+1/54= 13/54
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A, B, C are partner sharing profit in ratio of 3:2:1 they agree to admit D into the firm A, B, C agreed to give 1/3rd, 1/6th, 1/9th share of their profit. The share of profit of D will be?
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