Question

A,B and C were partners in a firm sharing ratio of 5:4:3 .B retired and his share was divided equally between A and C . Calculate the new profit sharing ratio of A and C​

Answer 1

Answer:

Old Ratio (A, B and C) = 8 : 4 : 3

B retires from the firm.

B's share taken by A and C in ratio of 1 : 1

$\sf \: Share \: taken \: by \: A = \frac{4}{15} x \frac{1}{2} = \frac{2}{15}$

$\sf \: Share \: taken \: by \: C = \frac{4}{15} x \frac{2}{3} = \frac{2}{15}$

New Ratio = Old Ratio + Share acquired from B

$\sf \: A's \: new \: share = \frac{8}{15} + \frac{2}{15} = \frac{10}{15} = \frac{2}{3}$

$\sf \: C's \: new \: share = \frac{3}{15} + \frac{2}{15} = \frac{5}{15} = \frac{1}{3}$

New profit (A and C) = 2 : 1

Hence, This is Answer.

Answer 2

Answer:

new ratio of A & B IS 7:5

Explanation:

OLD RATIO:

A:B:C = 5:4:3

•     A'S SHARE = 5/12
•     B'S SHARE = 4/12
•     C'S SHARE = 3/12

B RETIRE FROM THE FIRM AND HIS SHARE AQUIRED BY THE CONTINUEING PARTNERS IN THE RATIO 1:1

• B'S SHARE = 4/12

A WILL TAKE

• 4/12×1/2 = 4/24

C WILL TAKE

• 4/12×1/2 = 4/24

NEW RATIO OF A & C IS

⇒ OLD RATIO + SHARE AQUIRED FROM B

⇒ A'S NEW SHARE

• 5/12 + 4/24 = 14/24

⇒C'S NEW SHARE

• 3/12 + 4/24 = 10/24

THERE FORE , NEW PROFIT SHARING RATIO OF A & B IS

A:B = 14/24:10/24

A:B = 14:10

i.e. 7:5