A and B share profits in the ratio 3:2.They agreed to admit c on the c...
Calculation of Profit Sharing Ratio:
Initially, A and B share profits in the ratio 3:2.
Let the profit be x.
A's share = 3x/5
B's share = 2x/5
Now, A sacrifices 3/25 of his share in favour of C.
A's new share = (22/25) * (3x/5) = 66x/125
C's share = 3x/125
Similarly, B sacrifices 1/25 of his share in favour of C.
B's new share = (24/25) * (2x/5) = 48x/125
C's new share = 3x/125 + 2x/125 = 5x/125
The new profit sharing ratio of A, B and C will be:
A:B:C
= 66x/125 : 48x/125 : 5x/125
= 66:48:5
= 33:24:5 (Dividing all the terms by their HCF, which is 3)
Therefore, the new profit sharing ratio of A, B and C is 33:24:5.
Explanation:
Initially, A and B share profits in the ratio 3:2. This means that out of the total profit, A gets 3 parts and B gets 2 parts. Let the total profit be x. Then, A's share is 3x/5 and B's share is 2x/5.
Now, they agree to admit C on the condition that A will sacrifice 3/25 of his share of profit in favour of C and B will sacrifice 1/25 of his share in favour of C.
This means that A's new share will be (22/25) * (3x/5) and C's share will be 3x/125.
Similarly, B's new share will be (24/25) * (2x/5) and C's share will be 2x/125.
Adding up C's share in the new profit sharing ratio, we get 5x/125.
Dividing all the terms of the new profit sharing ratio by their HCF, we get the simplified ratio of 33:24:5.
Therefore, the new profit sharing ratio of A, B and C is 33:24:5.
A and B share profits in the ratio 3:2.They agreed to admit c on the c...
64:48:11
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