Question

Hari, Murari and Abhi were partners in a firm sharing profits and losses in the ratio of 8 : 7 : 4. Murari retired from the firm on 31^st March, 2025. Hari and Abhi decided to share profits in the future in the ratio of 2 : 1. The gaining ratio of Hari and Abhi was ______.

विकल्प

• 1 : 2

• 8 : 7

• 2 : 1

• 7 : 4

Answer 1

Hari, Murari and Abhi were partners in a firm sharing profits and losses in the ratio of 8 : 7 : 4. Murari retired from the firm on 31^st March, 2025. Hari and Abhi decided to share profits in the future in the ratio of 2 : 1. The gaining ratio of Hari and Abhi was 2 : 1.

Explanation:

Old profit-sharing ratio:

Hari : Murari : Abhi = 8 : 7 : 4

Total parts = 8 + 7 + 4 = 19

So old shares are:

Hari = `8/19`, Abhi = `4/19`

After Murari’s retirement, Hari and Abhi decide to share profits in the ratio 2 : 1.

New shares:

Hari = `2/3`, Abhi = `1/3`

Now calculate gain.

Hari’s Gain

`2/3 - 8/19`

LCM of 3 and 19 is 57:

= `(38 - 24)/57 = 14/57`

Abhi’s Gain

`1/3 - 4/19`

= `(19 - 12)/57 = 7/57`

Therefore, gaining ratio:

14 : 7 = 2 : 1