A, B and C are the partners sharing profit and loss in the ratio of 5

1.	A, B and C are the partners sharing profit and loss in the ratio of 5 : 3 : 2. They admitted D as a new partner. ‘A’ sacrifices \(\frac{1}{20}\) th from his share and ‘B’ sacrifices \(\frac{3}{40}\) th from his share in favour of D.
Answer» Sacrificing Ratio : A sacrifice = \(\frac{1}{20}\) from his share and B sacrifice = \(\frac{3}{40}\) from his share in favour of D. ∴ Sacrifice of A = \(\frac{1}{20}\) and B = \(\frac{3}{40}\) (making denominator equal) ∴ Sacrifice ratio = \(\frac{2}{40}:\frac{3}{40}\) = 2 : 3 ∴ Share of D = Sacrifice of A + Sacrifice of B= \(\frac{2}{40}+\frac{3}{40}=\frac{5}{40}\) New Profit and Loss sharing ratio : New share = Old share – Sacrifice ∴ New share of A = \(\frac{5}{10}-\frac{2}{40}=\frac{20-2}{40}=\frac{18}{40}\) ∴ New share of B = \(\frac{3}{10}-\frac{3}{40}=\frac{12-3}{40}=\frac{9}{40}\) ∴ New share of C = 210 (making denominator equal) = \(\frac{2}{10}\times\frac{4}{4}=\frac{8}{40}\) ∴ New share of D = \(\frac{5}{40}\) ∴ New Profit and Loss sharing ratio A, B, C and D = 18 : 9 : 8 : 5

A, B and C are the partners sharing profit and loss in the ratio of 5 : 3 : 2. They admitted D as a new partner. ‘A’ sacrifices \(\frac{1}{20}\) th from his share and ‘B’ sacrifices \(\frac{3}{40}\) th from his share in favour of D.

Answer»

Sacrificing Ratio : A sacrifice = \(\frac{1}{20}\) from his share and B sacrifice = \(\frac{3}{40}\) from his share in favour of D.

∴ Sacrifice of A = \(\frac{1}{20}\) and B = \(\frac{3}{40}\) (making denominator equal)

∴ Sacrifice ratio = \(\frac{2}{40}:\frac{3}{40}\) = 2 : 3

∴ Share of D = Sacrifice of A + Sacrifice of B= \(\frac{2}{40}+\frac{3}{40}=\frac{5}{40}\)

New Profit and Loss sharing ratio :

New share = Old share – Sacrifice

∴ New share of A = \(\frac{5}{10}-\frac{2}{40}=\frac{20-2}{40}=\frac{18}{40}\)

∴ New share of B = \(\frac{3}{10}-\frac{3}{40}=\frac{12-3}{40}=\frac{9}{40}\)

∴ New share of C = 210 (making denominator equal)

= \(\frac{2}{10}\times\frac{4}{4}=\frac{8}{40}\)

∴ New share of D = \(\frac{5}{40}\)

∴ New Profit and Loss sharing ratio A, B, C and D = 18 : 9 : 8 : 5