Question

A, B and C share profit and losses in the ratio of 3 : 2 : 1. Upon admission of D, they agreed to share as follows:

1. 4 : 4 : 2 : 2
2. 2 : 4 : 2 : 4

Calculate sacrificing ratios.

Answer 1

i.

Sacrifice Ratio = Old Ratio − New Ratio

Sacrifice made by A = `3/6 - 4/12`

= `(3 xx 2)/(6 xx 2) - 4/12`

= `6/12 - 4/12`

= `2/12`

= `1/6`

Sacrifice made by B = `2/6 - 4/12`

= `(2 xx 2)/(6 xx 2) - 4/12`

= `4/12 - 4/12`

= 0

Sacrifice made by C = `1/6 - 2/12`

= `(1 xx 2)/(6 xx 2) - 2/12`

= `2/12 - 2/12`

= 0

Only A sacrifices = `1/6`

ii.

Sacrifice made by A = `3/6 - 2/12`

= `(3 xx 2)/(6 xx 2) - 2/12`

= `6/12 - 2/12`

= `4/12`

= `2/6`

Sacrifice made by B = `2/6 - 4/12`

= `(2 xx 2)/(6 xx 2) - 4/12`

= `4/12 - 4/12`

= 0

Sacrifice made by C = `1/6 - 2/12`

= `(1 xx 2)/(6 xx 2) - 2/12`

= `2/12 - 2/12`

= 0

Only A sacrifices = `2/6`