Difference between new ratio and sacrificing ratio

Sacrificing RatioNew profit Sharing Ratio
It is the ratio in which old partners give their share to new partner/sIt is the share in which all the partners (including new partner) share profits and losses in the future.
It is related only to the old partners. it pertains to all the partners (including new partner/s)
Old Ratio - New RatioOld Ratio - Share sacrificed

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