Ram and Shyam are partners in a firm sharing profits in the ratio of 3:2. They admit Ghanshyam as a new partner. Ram surrenders `1//4` of his share and Shyam `1//3` of his share in favour of Ghanshyam. Calculate new profit sharing ratio of Ram. Shyam and Ghanshyam.
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Given:
- Ram and Shyam were partners in a firm sharing profits in the ratio 3:2.
- Ghanshyam was admitted as a new partner.
- Ram surrenders 1/4th of his share and Shyam surrenders 1/3rd of his share in favour of Ghanshyam.
To find:
- New profit sharing ratio of Ram, Shyam and Ghanshyam.
Solution:
Old profit sharing ratio of Ram and Shyam is 3 : 2.
- Ram's profit sharing ratio = 3/5
- Shyam's profit sharing ratio = 2/5
Sacrifice after admission of Ghanashyam:
- Ram's sacrifice = 3/5 of 1/4 = 3/20
- Shyam's sacrifice = 2/5 of 1/3 = 2/15
Share of Ghanshyam is given by:
⇒ Sacrifice of (Ram + Shyam)
⇒ 3/20 + 2/15
⇒ (9+8)/60
⇒ 17/60
New ratio of old partners after sacrifice:
Ram's new ratio:
⇒ Old ratio - Sacrifice
⇒ 3/5 - 3/20
⇒ (12-3)/20
⇒ 9/20
Shyam's new ratio:
⇒ Old ratio - Sacrifice
⇒ 2/5 - 2/15
⇒ (6-2)/15
⇒ 4/15
The required profit sharing ratio of partners:
⇒ Ram : Shyam : Ghanshyam
⇒ 9/20 : 4/15 : 17/60
⇒ 27/60 : 16/60 : 17/60
⇒ 27 : 16 : 17
So the new profit sharing ratio of Ram, Shyam and Ghanshyam is 27 : 16 : 17
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