Question

8. Arati and Bharati are partners sharing profits and losses in the ratio of 3:2. They admit Keerti into the partnership. The new profit sharing ratio is 4:3:3. Calculate the sacrifice ratio of Arati and Bharati.
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Answer 1

Answer:

The Sacrifice Ratio of Arati and Bharati = 2 : 1

Explanation:

Solution :

★ Old Ratio :

Arati : Bharati = 3 : 2

• Arati's Share = 3/5
• Bharati's Share = 2/5

They admit Keerti into the

partnership.

The new profit sharing ratio is 4 : 3 : 3.

★ New Profit Sharing Ratio :

Arati : Bharati : Keerti = 4 : 3 : 3

• Arati's New Share = 4/10
• Bharati's New Share = 3/10
• Keerti's New Share = 3/10

★ Sacrifice Ratio :

Sacrifice Ratio = Old Ratio - New Ratio

• Arati's Sacrifice =

⇒ 3/5 - 4/10 = (6 - 4)/10

⇒ 2/10

• Bharati's Sacrifice =

⇒ 2/5 - 3/10 = (4 - 3)/10

⇒ 1/10

Sacrifice Ratio =

• Arati : Bharati
• 2/10 : 1/10

⇒ 2 : 1

Therefore, the Sacrifice Ratio of Arati and Bharati = 2 : 1

Answer 2

Explanation:

Old Ratio =

Arati and Bharati = 3:2

New ratio =

Arati , Bharati and Keerti = 4:3:3

sacrifice ratio = old ratio - new ratio

Arati = 3/5 -4/10 = 2/10

Bharati = 2/5 - 3/10 = 1/10

Hence, sacrifice ratio = 2 :1