A and B were partners. C joins them and it is decided that A recives h...
New Profit Sharing Ratio After the Inclusion of C
After C joins the partnership, the new profit sharing ratio needs to be calculated. The profit sharing ratio is the proportion in which the profits or losses of the business are shared among the partners.
Old Profit Sharing Ratio
The old profit sharing ratio between A and B was not given in the problem.
Calculation of A's Share
As per the given conditions, A will receive half of B's share. Let B's share be x. Then, A's share will be x/2.
Calculation of C's Share
C will receive one-third of A's share. Let A's share be y. Then, C's share will be y/3.
New Profit Sharing Ratio
The new profit sharing ratio can be calculated as follows:
A:B:C
(x/2):(x):(y/3)
To simplify the ratio, we can multiply all the ratios by 6 (the LCM of 2 and 3):
3x:6x:2y
Simplifying further, we get:
1:2:2/3
Therefore, the new profit sharing ratio between A, B, and C is 1:2:2/3.
Conclusion
The new profit sharing ratio after the inclusion of C is 1:2:2/3. This means that A will receive 1/7th of the profits, B will receive 2/7th of the profits, and C will receive 2/7th of the profits.
A and B were partners. C joins them and it is decided that A recives h...
Let B's share= x
then A's share = x/2
then C's share= x/2*1/3= x/6
then ratio between A, B and C are = x/2: x: x/6
take LCM of this ratio and we get ratio of 3:6:1
so new ratio = 3:6:1