Question

A and b are partners sharing profits and losses in the ratio of5:3 .C is admitted as a new patner, the new profit- sharing ratio being 9:5:2. find out the sacrificing ratio.​

Answer 1

Answer:

Sacrificing Ratio of A and B will be

1 : 1

Explanation:

Solution :

★ Old Ratio =

A : B = 5 : 3

• A's Share = $\dfrac{5}{8}$

• B's Share = $\dfrac{3}{8}$

C is admitted as a new patner,

The New Profit Sharing Ratio being

A : B : C = 9 : 5 : 2

• A's New Share = $\dfrac{9}{16}$

• B's New Share = $\dfrac{5}{16}$

• C's Share = $\dfrac{2}{16}$

★ Sacrificing Ratio :

Sacrificing Ratio = Old Ratio - New Ratio

•A's Sacrifice =

$\longrightarrow \: \dfrac{5}{8} \: - \: \dfrac{9}{16} \: = \: \dfrac{(10 \: - \: 9)}{16}$

$\longrightarrow \: \dfrac{1}{16}$

•B's Sacrifice =

$\longrightarrow \: \dfrac{3}{8} \: - \: \dfrac{5}{16} \: = \: \dfrac{(6 \: - \: 5)}{16}$

$\longrightarrow \: \dfrac{1}{16}$

Sacrificing Ratio =

• A : B

$\longrightarrow \: \dfrac{1}{16} : \dfrac{1}{16}$

$\longrightarrow$ 1 : 1

∴ Sacrificing Ratio of A and B will be 1 : 1.

Answer 2

Given :-

A and B are partners sharing profits and losses in the ratio of5:3 .C is admitted as a new patner, the new profit- sharing ratio being 9:5:2

To Find :-

Sacrifice ratio

Solution :-

We know that

Total part = 5 + 3 = 8

Share of A = 5/8

Share of B = 3/8

Now

When C admit as new partner

Total part = 9 + 5 + 2 = 16

Share of A = 9/16

Share of B = 5/16

Share of C = 2/16 = 1/8

Now

Sacrifice Ratio of A = 5/8 - 9/16 = 10 - 9/16 = 1/16

Sacrifice Ratio of B = 3/8 - 5/18 = 6 - 5/16 = 1/16

Ratio = 1/16 : 1/16