Question

Pijush and Harjeet are partners sharing profits in the ratio 3 : 2. They admit Arun, a new partner, who acquires 1/25th share from Harjeet and rest from Pijush to make his share 1/3rd of Harjeet's new profit share.

What is the new profit-sharing ratio of all the partners?

Options

• 5 : 3 : 1

• 8 : 9 : 3

• 13 : 9 : 3

• 9 : 12 : 4

Answer 1

13 : 9 : 3

Explanation:

1. Calculate Harjeet's New Share

Harjeet's Old Share = `2/5`

Harjeet gives `1/25` to Arun.

Harjeet's New Share = `2/5 - 1/25 = (10 - 1)/25 = 9/25`

2. Calculate Arun's Share

Arun's share is `1/3` of Harjeet's new profit share.

Arun's Share = `1/3 xx 9/25 = 3/25`

3. Calculate Pijush's New Share

Arun acquires the rest of his share from Pijush.

Sacrifice by Pijush = Total share of Arun − Share taken from Harjeet

Sacrifice by Pijush = `3/25 - 1/25 = 2/25`

Pijush's Old Share = `3/5`

Pijush's New Share = `3/5 - 2/25 = (15 - 2)/25 = 13/25`

Comparing the new shares of Pijush, Harjeet, and Arun:

13 : 9 : 3