Question

A and B are partners. They admit C for a `1/3`rd share. In the future the ratio between A and B would be 2 : 1. The sacrifice ratio will be ______.

पर्याय

• 2 : 1

• 1 : 1

• 5 : 1

• 1 : 5

Answer 1

A and B are partners. They admit C for a `1/3`rd share. In the future the ratio between A and B would be 2 : 1. The sacrifice ratio will be 1 : 5.

Explanation:

Old Ratio of A and B = 1 : 1

Remaining Share = `1 - 1/3`

= `2/3`

The remaining `2/3` share must be distributed to A and B using this new 2 ∶ 1 ratio.

A’s New Share = `2/3 xx 2/3`

= `4/9`

B’s New Share = `2/3 xx 1/3`

= `2/9`

Calculate the Sacrificing Share:

A’s Sacrifice = `1/2 - 4/9`

= `(1 xx 9)/(2 xx 9) - (4 xx 2)/(9 xx 2)`

= `9/18 - 8/18`

= `1/18`

B’s Sacrifice = `1/2 - 2/9`

= `(1 xx 9)/(2 xx 9) - (2 xx 2)/(9 xx 2)`

= `9/18 - 4/18`

= `5/18`

The sacrifice ratio of A and B = `1/18 : 5/18` or 1 : 5