Question

kejari and Rahul are partners in a firm sharing profits in the ratio of 6:4 .Lalu was admitted in the partnership . Kejari surrendered 1/6th of his share and rahul 1/4th of his share on favour of Lalu . Calculate new & sacrificing ratio.​

Answer 1

Given data:

• Kejari and Rahul are partners in a firm, sharing profits and losses in the ratio 6:4.
• Lalu is admitted into the firm.
• Kejari surrenders 1/6th of his share and Rahul surrenders 1/4th of his share for Lalu.

To find: The new profit-sharing ratio and the sacrificing ratio.

Answer:

• Kejari's old share = 6/10
• Rahul's old share = 4/10
• Lalu's share = Sacrifice from Kejari + Sacrifice from Rahul

From Kejari, Lalu gets:

• 6/10 × 1/6 = 6/60

From Rahul, Lalu gets:

• 4/10 × 1/4 = 4/40

Calculation of the new profit-sharing ratio:

New ratio = Old ratio - Ratio surrendered

For Kejari:

• New ratio = 6/10 - 6/60 = (36 - 6)/60 = 30/60, or 1200/2400

For Rahul:

• New ratio = 4/10 - 4/40 = (16 - 4)/40 = 12/40, or 720/2400

For Lalu:

• New ratio = 6/60 + 4/40 = (240 + 240)/2400 = 480/2400

Calculation of the sacrificing ratio:

Sacrificing ratio = Old ratio - New ratio

For Kejari:

• Sacrificing ratio = 6/10 - 1200/2400 = (1440 - 1200)/2400 = 240/2400

For Rahul:

• Sacrificing ratio = 4/10 - 720/2400 = (960 - 720)/2400 = 240/2400

Therefore, the new profit-sharing ratio is 1200:720:480 or 5:3:2 and the sacrificing ratio is 240:240 or 1:1.

Answer 2

Explanation:

★ Old Ratio :

kejari : Rahul = 6 : 4

• kejari's Share = 6/10
• Rahul's Share = 4/10

Lalu was admitted in the partnership.

• Kejari surrendered 1/6th of his share :

⇒ 6/10 × 1/6 = 6/60

• Rahul surrendered 1/4th of his share :

⇒ 4/10 × 1/4 = 4/40

★ New Profit Sharing Ratio :

• kejari's New Share =

⇒ 6/10 - 6/60 = (36 - 6)/60

⇒ 30/60

• Rahul's New Share =

⇒ 4/10 - 4/40 = (16 - 4)/60

⇒ 12/40

• Lalu's Share =

⇒ 6/60 + 4/40 = (12 + 12)/120

⇒ 24/120

New Profit Sharing Ratio =

• kejari : Rahul : Lalu
• 30/60 : 12/40 : 24/120
• 60/120 : 36/120 : 24/120

⇒ 60 : 36 : 24 = 5 : 3 : 2

★ Sacrifice Ratio :

Sacrifice Ratio = Old Ratio - New Ratio

• kejari's Sacrifice =

⇒ 6/10 - 5/10 = 1/10

• Rahul's Sacrifice =

⇒ 4/10 - 3/10 = 1/10

Sacrifice Ratio =

• kejari : Rahul
• 1/10 : 1/10

⇒ 1 : 1

Therefore, New Profit Sharing Ratio= kejari : Rahul : Lalu = 5 : 3 : 2

Sacrifice Ratio =

kejari : Rahul = 1 : 1