Question

Vani, Vanya and Ajay were partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2. Vani retired and her share was taken over by Vanya and Ajay in the ratio of 2 : 3. The new profit sharing ratio between Vanya and Ajay after Vani’s retirement was ______.

विकल्प

• 2 : 1

• 5 : 3

• 3 : 2

• 1 : 1

Answer 1

Vani, Vanya and Ajay were partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2. Vani retired, and her share was taken over by Vanya and Ajay in the ratio of 2 : 3. The new profit sharing ratio between Vanya and Ajay after Vani’s retirement was 1 : 1.

Explanation:

1. Calculate the Gain (Share taken from Vani):

Vani’s share `(5/10)` is taken over by Vanya and Ajay in the ratio of 2 : 3.

Vanya’s Gain = `5/10 xx 2/5`

= `10/50`

= `2/10`

Ajay’s Gain = `5/10 xx 3/5`

= `15/50`

= `3/10`

2. Calculate the New Shares:

New Share = Old Share + Gain

Vanya’s New Share = `3/10 + 2/10`

= `5/10`

Ajay’s New Share = `2/10 + 3/10`

= `5/10`

The new ratio between Vanya and Ajay is 5 : 5, which simplifies to 1 : 1.