Question

A and B are partners sharing profits in the ratio of 5 : 3. A surrenders `1/4`th of his share and B surrenders `1/5` of his share in favour of C, a new partner. What is the sacrificing ratio?

Options

• 4 : 5

• 5 : 4

• 12 : 25

• 25 : 12

Answer 1

25 : 12

Explanation:

A’s sacrificed share = `1/4 xx 5/8`

= `5/32`

B’s sacrificed share = `1/5 xx 3/8`

= `3/40`

The sacrificing ratio is the ratio of the amounts sacrificed by A and B. To express the ratio `5/32 : 3/40`, we find a common denominator of 160:

A’s sacrificed ratio = `(5 xx 5)/(32 xx 5)`

= `25/160`

B’s sacrificed ratio = `(3 xx 4)/(40 xx 4)`

= `12/160`

The sacrificing ratio of A and B = `25/160 : 12/160` or 25 : 12