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

Old Ratio = Sandeep : Navdeep

                = 5 : 3

               = `5/8 : 3/8`

New Ratio = Sandeep : Navdeep : C

                 = 4 : 2 : 1

                 = `4/7 : 2/7 : 1/7`

Sacrificing Ratio = Old Ratio − New Ratio

Sandeep = `5/8 - 4/7 = [ 35 - 32]/56 = 3/56`

Navdeep = `3/8 - 2/7 = [ 21 - 16]/56 = 5/56`

Sacrificing Ratio = Sandeep : Navdeep

                          = `3/56 : 5/56`

                         = `3 : 5`
Note: As solution sacrificing ratio is 3:5,. However answer given the book is different.