Question

P and Q are partners sharing profits in the ratio of 5 : 3. R is admitted and the new ratio is 4 : 3 : 2. What will be the sacrificing ratio?

Answer 1

P’s new share = `4/9`

Q’s new share = `3/9`

R’s new share = `2/9`

Calculate the Sacrifice by Each Existing Partner:

Sacrifice by P = `5/8 - 4/9`

= `(5 xx 9)/(8 xx 9) - (4 xx 8)/(9 xx 8)`

= `45/72 - 32/72`

= `13/72`

Sacrifice by Q = `3/8 - 3/9`

= `(3 xx 9)/(8 xx 9) - (3 xx 8)/(9 xx 8)`

= `27/72 - 24/72`

= `3/72`

The sacrificing ratio between P and Q is `13/72 : 3/72` or 13 : 3.