Question

2. Kalpana, Bela and Neha are partners
sharing prfits and losses in the ratio of 3:4:2.
Bela retires and Kalpana and Neha share
future profits equally. Calculate gain ratio. ​

Answer 1

Given :

• Old Ratio of Partners - 3 : 4 : 2

• Bela Retires

Partners share future profits equally (1:1)

• New Ratio Of Partners - 1 : 1

To Find :

Gaining Ratio

${\underline{\boxed{Gaining \: Ratio = New \: Share - Old \: Share}}}$

Solution :

Gaining Share of Kalpana -

$\to \: \frac{1}{2} - \frac{3}{9}$

$\to\sf \: \frac{9 - 6}{18} = \frac{3}{18}$

Gaining Share Of Neha -

$\to \: \frac{1}{2} - \frac{2}{9}$

$\to \frac{9 - 4}{18} = \frac{5}{18}$

$\bullet \: \: \dfrac{3}{18} : \dfrac{5}{18} = \: 3 : 5$

$\therefore \sf \: Gaining \: Ratio \: of \: Partners \: = 3 : 5$

Answer 2

47:25

47:25Old ratio ( A, B and C) = 4 : 3 : 2

47:25Old ratio ( A, B and C) = 4 : 3 : 2B's profit share = 3/9 or 1/3

47:25Old ratio ( A, B and C) = 4 : 3 : 2B's profit share = 3/9 or 1/3A and C decided to take his share in the ratio of 5 : 3

47:25Old ratio ( A, B and C) = 4 : 3 : 2B's profit share = 3/9 or 1/3A and C decided to take his share in the ratio of 5 : 3Share of B taken by A = (1/3) * (5/8) = 5/24

47:25Old ratio ( A, B and C) = 4 : 3 : 2B's profit share = 3/9 or 1/3A and C decided to take his share in the ratio of 5 : 3Share of B taken by A = (1/3) * (5/8) = 5/24Share of B taken by C = (1/3) * (3/8) = 1/8 or 3/24

47:25Old ratio ( A, B and C) = 4 : 3 : 2B's profit share = 3/9 or 1/3A and C decided to take his share in the ratio of 5 : 3Share of B taken by A = (1/3) * (5/8) = 5/24Share of B taken by C = (1/3) * (3/8) = 1/8 or 3/24New profit sharing ratio = Old ratio + Share taken from B

47:25Old ratio ( A, B and C) = 4 : 3 : 2B's profit share = 3/9 or 1/3A and C decided to take his share in the ratio of 5 : 3Share of B taken by A = (1/3) * (5/8) = 5/24Share of B taken by C = (1/3) * (3/8) = 1/8 or 3/24New profit sharing ratio = Old ratio + Share taken from BA's new share = (4/9) + (5/24) = 47/72

47:25Old ratio ( A, B and C) = 4 : 3 : 2B's profit share = 3/9 or 1/3A and C decided to take his share in the ratio of 5 : 3Share of B taken by A = (1/3) * (5/8) = 5/24Share of B taken by C = (1/3) * (3/8) = 1/8 or 3/24New profit sharing ratio = Old ratio + Share taken from BA's new share = (4/9) + (5/24) = 47/72C's new share = (2/9) + (1/8) = 25/72

47:25Old ratio ( A, B and C) = 4 : 3 : 2B's profit share = 3/9 or 1/3A and C decided to take his share in the ratio of 5 : 3Share of B taken by A = (1/3) * (5/8) = 5/24Share of B taken by C = (1/3) * (3/8) = 1/8 or 3/24New profit sharing ratio = Old ratio + Share taken from BA's new share = (4/9) + (5/24) = 47/72C's new share = (2/9) + (1/8) = 25/72Therfore, new profit share = 47 : 25