Question

A b and c are partners sharing profit in the ratio of 7:5:3 Respectively A retires and it's share is taken over by b and c in the ratio of 2:3 Respectively calculate New profit sharing ratio of remaining partner​

Answer 1

Answer:

A share is = 7/15

A share taken by B &C in ratio 2:3

B gain = 7/15*2/5=14/75

C gain. = 7/15*3/5= 21/75

B new share = 5/15+14/75= 25+14/75= 39/75

C new share = 3/15+21/75=15+21/75= 36/75

New ratio of B and C is = 39:36= 13:12

Answer 2

Answer:

New Profit Sharing Ratio :

B : C = 13 : 12

Explanation:

Old Ratio :

A : B : C = 7 : 5 : 3

• A's Share = $\dfrac{7}{15}$

• B's Share = $\dfrac{5}{15}$

• C's Share = $\dfrac{3}{15}$

★ A retires and it's share is taken over by B and C in the ratio of 2 : 3 Respectively

A's Share taken by B =

$\longrightarrow \:\dfrac{7}{15} \times \dfrac{2}{5}$

$\longrightarrow \:\dfrac{14}{75}$

A's Share taken by C =

$\longrightarrow \:\dfrac{7}{15} \times \dfrac{3}{5}$

$\longrightarrow \:\dfrac{21}{75}$

★ New Profit Sharing Ratio of Remaining partner :

• New Ratio = Old Ratio + Gain

B's New Share =

$\longrightarrow \: \dfrac{5}{15} + \dfrac{14}{75}$

$\longrightarrow \:\dfrac{39}{75}$

C's New Share =

$\longrightarrow \: \dfrac{3}{15} + \dfrac{21}{75}$

$\longrightarrow \: \dfrac{36}{75}$

New Profit Sharing Ratio =

• B : C

• $\dfrac{39}{75} : \dfrac{36}{75}$

$\longrightarrow$ 39 : 36 = 13 : 12

∴ New Profit Sharing Ratio =

B : C = 13 : 12