Question

Chaman and Vatika were partners in a firm sharing profits and losses in the ratio of 4 : 5. They admitted Mohan as a new partner for 1/5^th share in the profits of the firm. Mohan acquired his share equally from Chaman and Vatika. The new profit-sharing ratio of Chaman, Vatika and Mohan will be ______.

Options

• 2 : 2 : 1

• 31 : 41 : 18

• 41 : 31 : 18

• 7 : 8 : 5

Answer 1

31 : 41 : 18

Explanation:

1. Calculate the Sacrifice:

Mohan’s share is `1/5`. He takes this equally from Chaman and Vatika.

Chaman’s Sacrifice = `1/5 xx 1/2`

= `1/10`

Vatika’s Sacrifice = `1/5 xx 1/2`

= `1/10`

2. Calculate New Shares (Old Share - Sacrifice):

Chaman’s New Share = `4/9 - 1/10`

= `(40 - 9)/90`

= `31/90`

Vatika’s New Share = `5/9 - 1/10`

= `(50 - 9)/90`

= `41/90`

Mohan’s Share = `1/5`

= `(1 xx 18)/(5 xx 18)`

= `18/90`

The ratio between Chaman, Vatika, and Mohan is 31 : 41 : 18.