Question

Sandeep and Navdeep are partners in a firm sharing profits in 5 : 3 ratio. They admit C into the firm and the new profit sharing ratio was agreed at 4 : 2 : 1. Calculate the sacrificing ratio.

Answer 1

Sacrifice ratio = Old ratio - New ratio

New profit sharing ratio of Sandeep : Navdeep : C = 4 : 2 : 1

Old profit sharing ratio of Sandeep : Navdeep = 5 : 3

Sacrifice of Sandeep = $\frac{5}{8}-\frac{4}{7}=\frac{35-32}{56}=\frac{3}{56}$

Sacrifice of Navdeep = $\frac{3}{8}-\frac{2}{7}=\frac{21-16}{56}=\frac{5}{56}$

Hence, sacrificing ratio = $\frac{3}{56}:\frac{5}{56}=3:5$