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a and b are partners in the ratio of 9:6. they admit c and decide that the profit sharing ratio between b and c shall be the same as existing between a and b. find out the new profit sharing ratio and sacrificing ratio.
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a and b are partners in the ratio of 9:6. they admit c and decide that...
Problem Statement: A and B are partners in the ratio of 9:6. They admit C and decide that the profit sharing ratio between B and C shall be the same as existing between A and B. Find out the new profit sharing ratio and sacrificing ratio.
Solution:
To solve the problem, we need to follow two steps:
1. Determine the new profit sharing ratio between A, B, and C
2. Calculate the sacrificing ratio of A and B
Step 1: New Profit Sharing Ratio
Let the share of A and B be 9x and 6x respectively.
Total share of A and B = 9x + 6x = 15x
Given that the profit sharing ratio between B and C shall be the same as existing between A and B.
Therefore, the new profit sharing ratio between A, B, and C can be represented as:
A: B: C = 9x:6x:6y (Let the share of C be 6y)
Since the total profit sharing ratio is 15x+6y, it is equal to the total profit:
15x+6y = Total Profit
Step 2: Sacrificing Ratio
Sacrificing ratio is the ratio in which the partners give up their share of profit for the admission of a new partner. In this case, A and B are sacrificing their share for the admission of C.
Let the sacrificing ratio of A and B be a:b.
Therefore, the new profit sharing ratio between A, B, and C can be represented as:
A: B: C = 9x-a:6x-b:6y (After sacrificing their share)
Since the total profit sharing ratio is 15x- (a+b) + 6y, it is equal to the total profit:
15x- (a+b) + 6y = Total Profit
Therefore, the new profit sharing ratio between A, B, and C is 9x:6x:6y and the sacrificing ratio of A and B is a:b.
Solution:
To solve the problem, we need to follow two steps:
1. Determine the new profit sharing ratio between A, B, and C
2. Calculate the sacrificing ratio of A and B
Step 1: New Profit Sharing Ratio
Let the share of A and B be 9x and 6x respectively.
Total share of A and B = 9x + 6x = 15x
Given that the profit sharing ratio between B and C shall be the same as existing between A and B.
Therefore, the new profit sharing ratio between A, B, and C can be represented as:
A: B: C = 9x:6x:6y (Let the share of C be 6y)
Since the total profit sharing ratio is 15x+6y, it is equal to the total profit:
15x+6y = Total Profit
Step 2: Sacrificing Ratio
Sacrificing ratio is the ratio in which the partners give up their share of profit for the admission of a new partner. In this case, A and B are sacrificing their share for the admission of C.
Let the sacrificing ratio of A and B be a:b.
Therefore, the new profit sharing ratio between A, B, and C can be represented as:
A: B: C = 9x-a:6x-b:6y (After sacrificing their share)
Since the total profit sharing ratio is 15x- (a+b) + 6y, it is equal to the total profit:
15x- (a+b) + 6y = Total Profit
Therefore, the new profit sharing ratio between A, B, and C is 9x:6x:6y and the sacrificing ratio of A and B is a:b.
Community Answer
a and b are partners in the ratio of 9:6. they admit c and decide that...
New Profit Sharing Ratio = 9:6:4
Sacrificing Ratio = 3:2
Sacrificing Ratio = 3:2
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a and b are partners in the ratio of 9:6. they admit c and decide that the profit sharing ratio between b and c shall be the same as existing between a and b. find out the new profit sharing ratio and sacrificing ratio. Related: New Profit Sharing and Sacrificing Ratio (Part B)?
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