Question

6
1. B and C are partners, sharing profits in the ratio of
4:3:2 . D is admitted
to 1/3rd share to future profit. What is the sacrificing ratio​

Answer 1

Answer:

8:6:4:9

is the correct answer

Answer 2

Answer:

Sacrificing Ratio is

A : B : C = 4 : 3 : 2

Explanation:

★ Correct Question :

A, B and C are partners, sharing profits in the ratio of 4:3:2. D is admitted to 1 / 3 rd share to future profit. What is the sacrificing ratio

Solution :

Old Ratio =

A : B : C = 4 : 3 : 2

• A's Share = $\dfrac{4}{9}$

• B's Share = $\dfrac{3}{9}$

• C's Share = $\dfrac{2}{9}$

D is admitted to 1 / 3 rd share to future profit :

Let,

Total Share of Profit = 1

so,

$1 \: - \: \dfrac{1}{3} = \dfrac{2}{3}$

• D's Share = $\dfrac{1}{3}$

• A's new share =

$\longrightarrow{\dfrac{2}{3} \times \dfrac{4}{9} = \dfrac{8}{27}}$

• B's new share =

$\longrightarrow{\dfrac{2}{3} \times \dfrac{3}{9} = \dfrac{6}{27}}$

• C's new share =

$\longrightarrow{\dfrac{2}{3} \times \dfrac{2}{9} = \dfrac{4}{27}}$

• D's share =

$\longrightarrow{\dfrac{1}{3} = \dfrac{9}{27}}$

New Ratio =

• A : B : C : D
• 8 : 6 : 4 : 9

★ Sacrificing Ratio :

Sacrificing Ratio = Old Ratio - New Ratio

• A's Sacrifice =

$\longrightarrow \: \dfrac{4}{9} - \dfrac{8}{27} = \dfrac{4}{27}$

• B's Sacrifice =

$\longrightarrow \: \dfrac{3}{9} - \dfrac{6}{27} = \dfrac{3}{27}$

• C's Sacrifice =

$\longrightarrow \: \dfrac{2}{9} - \dfrac{4}{27} = \dfrac{2}{27}$

Sacrificing Ratio =

• A : B : C

• $\dfrac{4}{27} : \dfrac{3}{27} : \dfrac{2}{27}$

∴ Sacrificing Ratio is

A : B : C = 4 : 3 : 2