A, B, and C were partners in a firm sharing profits in the ratio of 8 : 4 : 3. B retires and his share is taken up equally by A and C. Find the new profit-sharing ratio.

Open in App

Solution

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

B retires from the firm.

His profit share = $\frac{4}{15}$

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

$S h a r e t a k e n b y A : \frac{4}{15} \times \frac{1}{2} = \frac{2}{15} S h a r e t a k e n b y C : \frac{4}{15} \times \frac{1}{2} = \frac{2}{15}$

New Ratio = Old Ratio + Share acquired from B

$A' s N e w S h a r e : \frac{8}{15} + \frac{2}{15} = \frac{10}{15} = \frac{2}{3} C' s N e w S h a r e : \frac{3}{15} + \frac{2}{15} = \frac{5}{15} = \frac{1}{3}$

∴ New Profit Ratio (A and C) = 2 : 1

Suggest Corrections

Similar questions

A, B

and

C

were partners in a firm sharing profits in the ratio of

8 : 4 : 3

B

retires and his share is taken up equally by

A

and

C

. Find the new profit-sharing ratio.

A, B and C were partners sharing profits in the ratio of 5:4:3. C retired and his share was taken up by A and B in the ratio of 3:2. Find out the new ratio.

A, B

and

C

are partners sharing profits in the ratio of

5 : 3 : 2

C

retires and his share is taken by

A

. Calculate new profit-sharing ratio of

A

and

B

Q. A, B and C are partners in a business sharing in the ratio of 5 : 3 : 2. B retires from the firm and his share was taken up by A and C in the ratio of 2 : 1. What is the new profit sharing ratio of the partners?

Q. A, B and C are partners sharing profits in the ratio of

1 / 2, 2 / 5

and

1 / 10

. B retires and his share is taken up by A and C in the ratio of

1 : 5

. The new profit sharing ratio of A and C will be __________.

Join BYJU'S Learning Program