Question

A and B are partners sharing profits in 5 : 3. C is admitted into the firm. A surrenders `1/32` from his share and B surrenders `1/24`th of his share in favour of C. Sacrificing ratio will be ______.

Options

• 3 : 4

• 4 : 3

• 38 : 23

• 2 : 1

Answer 1

A and B are partners sharing profits in 5 : 3. C is admitted into the firm. A surrenders `1/32` from his share and B surrenders `1/24`th of his share in favour of C. Sacrificing ratio will be 2 : 1.

Explanation:

Partner A surrenders a fixed amount from his share, which is `1/32`.
Partner B surrenders a fraction of his existing share, which is calculated as:

B’s Sacrifice = `1/24 xx 3/8`

= `3/192`

= `1/64`

To express this as a simple ratio, we find a common denominator (64):

A’s Sacrifice = `1/32`

= `(1 xx 2)/(32 xx 2)`

= `2/64`

B’s Sacrifice = `1/64`

Sacrificing ratio of A and B = `2/64 : 1/64` or 2 : 1