Akshay and bharati are partners sharing profits in the ratio 3:2 they ...
Solution:
Given, the current profit-sharing ratio of Akshay and Bharati is 3:2.
Step 1: Calculation of Dinesh's Share
Dinesh is admitted as a new partner for 1/5th share in the future profits of the firm. Let the total profit be 'x'.
Therefore, Dinesh's share in the profit = 1/5 * x
Dinesh gets this share equally from Akshay and Bharati.
So, Dinesh's share from Akshay = 1/2 * 1/5 * x = 1/10 * x
Dinesh's share from Bharati = 1/2 * 1/5 * x = 1/10 * x
Therefore, Dinesh's total share in the profit = 1/10 * x + 1/10 * x = 1/5 * x
Step 2: Calculation of New Profit-Sharing Ratio
Let the new profit-sharing ratio of Akshay, Bharati, and Dinesh be a:b:c.
As per the given condition, Dinesh gets an equal share from Akshay and Bharati.
So, the share of Akshay and Bharati in the profit will be in the ratio of 3:2.
Therefore,
a:b = 3:2
Let's assume the total profit to be 10.
So, Akshay's share in the profit = 3/5 * 10 = 6
Bharati's share in the profit = 2/5 * 10 = 4
Dinesh's share in the profit = 1/5 * 10 = 2
Therefore,
a:b:c = 6:4:2
Simplifying it,
a/b = 3/2
a/c = 3/1
b/c = 2/1
Multiplying the first equation by 2 and the second equation by 1, we get
a/b = 6/4
a/c = 3/1
b/c = 2/1
Simplifying it further, we get
a:b:c = 6:4:2
Therefore, the new profit-sharing ratio of Akshay, Bharati, and Dinesh is 6:4:2.
Conclusion:
Thus, the new profit-sharing ratio of Akshay, Bharati, and Dinesh is 6:4:2.
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