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A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is agreed that A would retain his original share . Calculate new profit sharing and sacrificing ratio.?
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A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is...
Solution:
Given:
- A, B, and C are partners sharing ratio 4:3:2
- D is admitted for 1/9 share
- A retains his original share
To find:
- New profit sharing ratio
- New sacrificing ratio
Calculation of New Profit Sharing Ratio:
- Initially, the total ratio of the partners was 4+3+2 = 9
- A's share = 4/9 of the total profit
- B's share = 3/9 of the total profit
- C's share = 2/9 of the total profit
- D's share = 1/9 of the total profit (as per the agreement)
Now, let's calculate the new profit sharing ratio after the admission of D:
- A's share = 4/9 (as he retains his original share)
- B's share = 3/9 * (8/9) = 2/9
- Here, we multiplied B's share by (8/9) because D's share is 1/9 and the remaining share is 8/9. So, B's share in the remaining 8/9 would be (3/9 * 8/9) = 2/9.
- C's share = 2/9 * (8/9) = 16/81
- Here, we multiplied C's share by (8/9) because D's share is 1/9 and the remaining share is 8/9. So, C's share in the remaining 8/9 would be (2/9 * 8/9) = 16/81.
- D's share = 1/9
Therefore, the new profit sharing ratio would be:
- A:B:C:D = 4/9:2/9:16/81:1/9
- Simplifying the ratio by multiplying each term by 81, we get:
- A:B:C:D = 32:16:16:9
Calculation of New Sacrificing Ratio:
- Sacrificing ratio is the ratio in which the partners agree to give up their share of profit for the admission of a new partner.
- Here, A retains his original share. So, the sacrificing ratio would be the ratio in which B and C agree to give up their share of profit for the admission of D.
- Let's assume that B and C agree to give up x and y shares of profit, respectively.
- Total profit share = 1
- As per the agreement, D is admitted for 1/9 share. So, the remaining share would be (1-1/9) = 8/9.
- The new profit sharing ratio between B, C, and D is 2:16:9.
- Therefore, the sacrificing ratio between B and C would be in the ratio of their profit share in the new ratio.
- Sacrificing ratio of B:C = (16/27):(9/27) = 16:9
Hence, the new profit sharing ratio and sacrificing ratio are:
- Profit sharing ratio: A:B:C:D = 32:16:16:9
- Sacrificing ratio: B:C = 16:9
Given:
- A, B, and C are partners sharing ratio 4:3:2
- D is admitted for 1/9 share
- A retains his original share
To find:
- New profit sharing ratio
- New sacrificing ratio
Calculation of New Profit Sharing Ratio:
- Initially, the total ratio of the partners was 4+3+2 = 9
- A's share = 4/9 of the total profit
- B's share = 3/9 of the total profit
- C's share = 2/9 of the total profit
- D's share = 1/9 of the total profit (as per the agreement)
Now, let's calculate the new profit sharing ratio after the admission of D:
- A's share = 4/9 (as he retains his original share)
- B's share = 3/9 * (8/9) = 2/9
- Here, we multiplied B's share by (8/9) because D's share is 1/9 and the remaining share is 8/9. So, B's share in the remaining 8/9 would be (3/9 * 8/9) = 2/9.
- C's share = 2/9 * (8/9) = 16/81
- Here, we multiplied C's share by (8/9) because D's share is 1/9 and the remaining share is 8/9. So, C's share in the remaining 8/9 would be (2/9 * 8/9) = 16/81.
- D's share = 1/9
Therefore, the new profit sharing ratio would be:
- A:B:C:D = 4/9:2/9:16/81:1/9
- Simplifying the ratio by multiplying each term by 81, we get:
- A:B:C:D = 32:16:16:9
Calculation of New Sacrificing Ratio:
- Sacrificing ratio is the ratio in which the partners agree to give up their share of profit for the admission of a new partner.
- Here, A retains his original share. So, the sacrificing ratio would be the ratio in which B and C agree to give up their share of profit for the admission of D.
- Let's assume that B and C agree to give up x and y shares of profit, respectively.
- Total profit share = 1
- As per the agreement, D is admitted for 1/9 share. So, the remaining share would be (1-1/9) = 8/9.
- The new profit sharing ratio between B, C, and D is 2:16:9.
- Therefore, the sacrificing ratio between B and C would be in the ratio of their profit share in the new ratio.
- Sacrificing ratio of B:C = (16/27):(9/27) = 16:9
Hence, the new profit sharing ratio and sacrificing ratio are:
- Profit sharing ratio: A:B:C:D = 32:16:16:9
- Sacrificing ratio: B:C = 16:9
Community Answer
A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is...
D's share = 1/9
remaining shares = 1-1/9
=8/9
A's new share = 4/9×8/9
= 32/81
B's new share = 3/9×8/9
=24/81
C's new share = 2/9×8/9
= 16/81
D's share =1/9×9/9
= 9/81
hence the new profit sharing ratio is 32:24:16:9
remaining shares = 1-1/9
=8/9
A's new share = 4/9×8/9
= 32/81
B's new share = 3/9×8/9
=24/81
C's new share = 2/9×8/9
= 16/81
D's share =1/9×9/9
= 9/81
hence the new profit sharing ratio is 32:24:16:9
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A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is agreed that A would retain his original share . Calculate new profit sharing and sacrificing ratio.?
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A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is agreed that A would retain his original share . Calculate new profit sharing and sacrificing ratio.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is agreed that A would retain his original share . Calculate new profit sharing and sacrificing ratio.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is agreed that A would retain his original share . Calculate new profit sharing and sacrificing ratio.?.
A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is agreed that A would retain his original share . Calculate new profit sharing and sacrificing ratio.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is agreed that A would retain his original share . Calculate new profit sharing and sacrificing ratio.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C are partners sharing ratio 4:3:2 They admit D for 1/9 It is agreed that A would retain his original share . Calculate new profit sharing and sacrificing ratio.?.
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