L and M are partners in a firm sharing profits in the ratio of 5: 3. They admit N decide that the profit-shareing ratio between M and N shall be same as existing between L and M. Calculate new profit-sharing ratio and the sacrificing ratio.

Explanation

As the ratio of L and M is 5 : 3. Ratio of M and N should be 5 : 3.
Since M's share is 60% of L's share `(i.e., 3//xx100=60%)`. Thus, N's share is 60% of 3=1.8.
New Ratio of L, M and N =5:3:1.8 or 25:15:9.
Calculation of Sacrificing Ratio:
Share sacrificed=Old Share - New Share
L's sacrifice `=(5)/(8)-(25)/(49)=(45)/(392)` M's sacrifice `=(3)/(8)-(15)/(49)=(27)/(392)`,
Thus, sacrificing Ratio of L and M `=(45)/(392):(27)/(392)=5:3`.