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X and y are partners sharing profits in the ratio of 3 :2 . Z is admitted as a new partner for 1/3 share in the profit. one third share of z is gifted to him by X and balance share was given to him by X and y equally their new profit sharing ratio will be?
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X and y are partners sharing profits in the ratio of 3 :2 . Z is admit...
Solution:

Given, X and Y are partners sharing profits in the ratio of 3:2.
Z is admitted as a new partner for 1/3rd share in profit.

Let the total profit be P.

Then, X’s share = 3P/5
Y’s share = 2P/5

Z’s share = P/3

Now, one-third share of Z is gifted to him by X.

So, X’s share in Z’s share = P/9

Remaining two-third share of Z is given to him by X and Y in equal amounts.

So, X’s share in Z’s share = (2/3) x (1/2) x P/3 = P/9

Therefore, X’s total share in the profit after giving a gift to Z = 3P/5 + P/9 + P/9 = 17P/45

Y’s total share in the profit = 2P/5 + P/9 + P/9 = 13P/45

Z’s total share in the profit = P/3 + P/9 + P/9 = 11P/45

Therefore, the new profit sharing ratio of X, Y, and Z will be:

X: Y: Z = 17P/45: 13P/45: 11P/45

Simplifying the above ratio, we get:

X: Y: Z = 17: 13: 11

Hence, the new profit sharing ratio of X, Y, and Z is 17:13:11.
Community Answer
X and y are partners sharing profits in the ratio of 3 :2 . Z is admit...
X=3/5 - (1/3 x 1/3) - (1/3 x 2/3 x 1/2) = 17/45
Y=2/5 - (1/3 x 2/3 x 1/2) = 13/45
Z=1/3 x 15/15 = 15/45
New Ratio of X:Y:Z is 17:13:15.
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X and y are partners sharing profits in the ratio of 3 :2 . Z is admitted as a new partner for 1/3 share in the profit. one third share of z is gifted to him by X and balance share was given to him by X and y equally their new profit sharing ratio will be?
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