Question

Mohan and Sohan are partners sharing profits and losses in the ratio of 9 : 6. They admit Gopal with 1/8 share in the profits. The new profit sharing ratio between Mohan and Sohan is agreed to be 4 : 3. Calculate the sacrificing ratio.

Answer 1

Old ratio of Mohan : Sohan = 9 : 6

Simplify:

9 : 6 = 3 : 2

So their old shares are:

Mohan = `3/5`

Sohan = `2/5`

Gopal gets `1/8` share.

The remaining share for Mohan and Sohan is:

`1 - 1/8 = 7/8`

Their new ratio is 4 : 3, so:

Mohan's new share = `4/7 xx 7/8 = 1/2`

Sohan's new share = `3/7 xx 7/8 = 3/8`

Sacrifice made

Mohan: `3/5 - 1/2 = (6 - 5)/10 = 1/10`

Sohan: `2/5 - 3/8 = (16 - 15)/40 = 1/40`

Therefore, sacrificing ratio:

`1/10 : 1/40 = 4 : 1`