$P$ and $Q$ are partners sharing profits in the ratio of $3 : 2$ . They admit $R$ , a new partner who acquired $1 / 5^{t h}$ of his share from $P$ and $4 / 25^{t h}$ share from $Q$ . Calculate New Profit Sharing Ratio and Sacrificing Ratio.

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Solution

Admission of a partner leads to the reconstitution of partnership. As a result of which there is a change in the profit sharing ratio among the partners. The new partner acquires his share from the existing partners.

P and Q are the old partners sharing ratio. R is admitted as new partner and he is acquiring his share in a specified ration from the existing partners. First we will calculate the new ratio of the partners.
P= 3/5 - 1/5 = 2/5
Q= 2/5- 4/25 = 6/25
R= 1/5 + 4/25 = 9/25
so the new ratio is 10:6:9
Now we will calculate the sacrificing ratio= old ratio - new ratio
P= 3/5- 2/5= 1/5
Q=2/5-6/25 = 4/25
So, the ratio in which they are giving up the share is the sacrificing ratio.

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P and Q are partners sharing profits in the ratio of 3:2. They admit R, a new partner who acquired 1/5th of his share from P and 4/25th share from Q. Calculate New Profit Sharing Ratio and Sacrificing Ratio.

$P$ and $Q$ are partners sharing profits in the ratio of $3 : 2$ . They admit $R$ , a new partner who acquired $1 / 5^{t h}$ of his share from $P$ and $4 / 25^{t h}$ share from $Q$ . Calculate New Profit Sharing Ratio and Sacrificing Ratio.