Question

20. Bishan and Sudha were partners in a firm sharing profits and losses in the ratio of 5: 3. Alena was admitted as a new partner. It was decided that the new profit sharing ratio of Bishan, Sudha and Alena will be 10 : 6 : 5. The sacrificing ratio of Bishan and Sudha will be : (A) 5:3 (B) 25: 78 (C) 6:5 (D) 2:1 (C.B.S.E. 2020, Kerala Treatme 27. 21 and R​

Answer 1

Answer:

sacr. ratio = old ratio - new ratio

bishan : sudha

=5/8-10/21 : 3/8-6/21

= 105/168-80/168 : 63/168 -48/168

= 25/168 : 15/168

= 25:15

= 5:3

Answer 2

Explanation:

Solution :

★ Old Ratio :

Bishan : Sudha = 5 : 3

• Bishan's Share = 5/8
• Sudha's Share = 3/8

Alena was admitted as a new partner.

It was decided that the new profit sharing ratio of Bishan, Sudha and Alena will be 10 : 6 : 5.

★ New Profit Sharing Ratio :

Bishan : Sudha : Alena = 10 : 6 : 5

• Bishan's New Share = 10/21
• Sudha's New Share = 6/21
• Alena's Share = 5/21

★ Sacrificing Ratio = Old Ratio - New Ratio

• Bishan's Sacrifice =

⇒ 5/8 - 10/21

⇒ (105 - 80)/168

⇒ 25/168

• Sudha's Sacrifice =

⇒ 3/8 - 6/21

⇒ (63 - 48)/168

⇒ 15/168

Sacrificing Ratio =

• Bishan : Sudha
• 25/168 : 15/168

⇒ 25 : 15 = 5 : 3

Therefore, Option (A) 5:3

The sacrificing ratio of Bishan and Sudha will be 5 : 3.