Question

a and b are partners sharing profits and losses in the ratio of 5:3. They admit C who will receive 1/4th share in future profits which he receives equally from A and B. Calculate new ratio and sacrificing ratio?​

Answer 1

Answer:

నాకుకరెక్ట్ ఆన్సర్ రాలేదు సిin అటాచ్మెంట్

Answer 2

Given :

A = B

5 : 3

C admitted for 1/4th share receives equally for A and B

To Find :

New ratio and sacrificing ratio

Solution :

$\bf\: A's \: sacrifice = \large\frac{1}{4} × \frac{1}{2} = \frac{1}{8}$

$\bf\: B's \: sacrifice = \large\frac{1}{4} × \frac{1}{2} = \frac{1}{8}$

New share = Old share - share surrendered

$\bf \: A's \: new \: share = \large \frac{5}{8} -\frac{1}{8}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large\bf \color{red}= \frac{4}{8}$

$\bf \: B's \: new \: share = \large \frac{3}{8} - \frac{1}{8}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \color{red}= \large \frac{2}{8}$

$\bf \: C's \: share = A - B$

$\bf \large \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{4}{8} - \frac{2}{8}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \color{red} = \large \frac{2}{8}$

Combined share of A and B after C’s admission = 1 – C’s share

$\bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1-\frac{2}{8}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \color{red} = \large \frac{1}{8}$

A:B:C

$⟼ \boxed{ \bf \color{red}\frac{4}{8} : \frac{2}{8} : \frac{1}{8} }$

New ratio :

$\bf \: ⟶ \color{red}4:2:1$

Sacrificing ratio :

$\bf= \large \frac{1}{8} : \frac{1}{8}$

$\bf \color{red} =1:1$

$\bf or \: equal \: as \: mentioned \: in \: the \: question$