Question

Bishan and Sudha were partners in a firm sharing profits and losses in the ratio of 5 : 3. Alena was admitted as a new partner. It was decided that the new profit-sharing ratio of Bishan, Sudha, and Alena will be 10 : 6 : 5. The sacrificing ratio of Bishan and Sudha will be ______.

Options

• 5 : 3

• 25 : 78

• 6 : 5

• 2 : 1

Answer 1

Bishan and Sudha were partners in a firm sharing profits and losses in the ratio of 5 : 3. Alena was admitted as a new partner. It was decided that the new profit-sharing ratio of Bishan, Sudha, and Alena will be 10 : 6 : 5. The sacrificing ratio of Bishan and Sudha will be 5 : 3.

Explanation:

Calculation of Sacrificing Ratio:

Bishan’s Sacrifice = `5/8 - 10/21`

= `(5 xx 21)/(8 xx 21) - (10 xx 8)/(21 xx 8)`

= `105/168 - 80/168`

= `25/168`

Sudha’s Sacrifice = `3/8 - 6/21`

= `(3 xx 21)/(8 xx 21) - (6 xx 8)/(21 xx 8)`

= `63/168 - 48/168`

= `15/168`

Sacrificing Ratio of Bishan and Sudha = `25/168 : 15/168` or 25 : 15 or 5 : 3