Question

Rani, Maharani and Laxmi were partners in a firm sharing profits and losses in the ratio of 3: 3: 2. On 1st April, 2024 they admitted Reena as a new partner for `1/5` th share in the profits of the firm. Reena acquired her share from Rani and Maharani in the ratio of 3 : 2. The new profit sharing ratio between Rani, Maharani, Laxmi and Reena will be:

विकल्प

• 51 : 59 : 40 : 50

• 51 : 59 : 50 : 40

• 59 : 51 : 50 : 40

• 40 : 51 : 59 : 50

Answer 1

51 : 59 : 50 : 40

Explanation:

1. Calculation of Individual Sacrifices

Reena's total share is `1/5`, which she acquires from Rani and Maharani in the ratio of 3 : 2:

Sacrifice by Rani: `1/5 xx 3/5 = 3/25`

Sacrifice by Maharani: `1/5 xx 2/5 = 2/25`

Sacrifice by Laxmi: 0 (No sacrifice)

2. Calculation of New Shares

Formula: New Share = Old Share − Sacrifice

Rani's New Share:

`3/8 - 3/25 = (75 - 24)/200 = 51/200`

Maharani's New Share:

`3/8 - 2/25 = (75 - 16)/200 = 59/200`

Laxmi's New Share: `2/8 = (2 xx 25)/(8 xx 25) = 50/200`

Reena's Share: `1/5 = (1 xx 40)/(5 xx 40) = 40/200`

The required order is Rani : Maharani : Laxmi : Reena, which gives:

51 : 59 : 50 : 40