Question

In a firm A and B who are partners in the ratio of 3.2 they made Ca partner for 1/2 part Find the new
ratio of profit and loss?​

Answer 1

Explanation:

Old ratio (A and B) = 3 : 2

C is admitted for 1/4 share

Let the combined share of A, B and C = 1

Combined share of A and B after C's admission = 1 - C's share

= 1 - (1/4) = 3/4

New share :

A = (3/4) * (1/2) = 3/8

B = (3/4) * (1/2) = 3/8

C = 1/4

Therefore, A : B : C = 3/8 : 3/8 : 1/4

= 3 : 3 : 2

Sacrificing ratio = Old ratio - New ratio

A's sacrifice = (3/5) - (3/8) = 9/24

B's sacrifice = (2/5) - (3/8) = 1/24

Therefore, sacrificing ratio of A and b is 9 : 1

Answer 2

Answer:

The new ratio of A : B : C = 3 : 2 : 5

Explanation:

Given :

A and B are partners in the ratio = 3 : 2

C was made the partner share = 1 / 2 part

To find :

The new ratio

Solution :

• Old ratio (A and B) = 3 : 2

• Old Share of A = $\sf{\dfrac{3}{5}}$

• Old Share of B = $\sf{\dfrac{2}{5}}$

★ Share given by A to C :

⇒$\sf{\dfrac{3}{5} \times \dfrac{1}{2}}$

⇒ $\sf{\dfrac{3}{10}}$

★ Share given by B to C :

⇒ $\sf{\dfrac{2}{5} \times \dfrac{1}{2}}$

⇒ $\sf{\dfrac{2}{10}}$

★ New share of A :

⇒ $\sf{\dfrac{3}{5} - \dfrac{3}{10} = \dfrac{3}{10}}$

• New share of A = $\sf{\dfrac{3}{10}}$

★ New share of B :

⇒ $\sf{\dfrac{2}{5} - \dfrac{2}{10} = \dfrac{2}{10}}$

• New share of B = $\sf{\dfrac{2}{10}}$

★ Share of C :

Share given by A to C + Share given by B to C

⇒ $\sf {\dfrac{3}{10} + \dfrac{2}{10} = \dfrac{5}{10}}$

• Share of C = $\sf{\dfrac{5}{10}}$

• A : B : C =
• $\sf{\dfrac{3}{10} : \dfrac{2}{10} : \dfrac{5}{10}}$

Therefore,

The new ratio of A : B : C = 3 : 2 : 5