Question

A and B are partners sharing profit and loss in the ratio 1:1 . They admit C for 3rd share. calculate new ratio and sacrificing ratio.

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Answer 1

Question:-

To find sacrificing and new ratio.

Answer:-

so,

$\sf \: old \: ratio \: of \: A \: nd \: B = 1: 1$

$\sf \: \: c \: is \: admitted \: for \: 3rd \: share$

$\rm\blue{ \: then \: the \: new \: ratio \: is \: 1:1: 1}$

or we can also compute new ratio by this method:-

old ratio of A and B = 1:1

C's share= 1/3

$\sf \: remaining \: portion = 1 - \frac{1}{3} = \frac{2}{3}$

To find new share:-

$\rm\implies\purple{ \: old \: ratio \times remaining \: portion}$

$\sf \: new \: share \:of \: A= \frac{1}{2} \times \frac{2}{3} = \frac{2}{6}$

$\sf \: new \: share \: of \: B = \frac{1}{2} \times \frac{2}{3} = \frac{2}{6}$

$\sf \: share \: of \: C = \frac{1}{3} = \frac{2}{6}$

$= > \frac{2}{6}: \frac{2}{6}: \frac{2}{6} = \frac{1}{3}: \frac{1}{3}: \frac{1}{3}$

$\rm\implies\red{ \: new \: ratio \: = 1:1: 1}$

To find sacrificing ratio:-

$\rm\green{ \: old \: ratio \: - new \: ratio \: }$

In this problem, the old and new ratio are same. from this we know that the sacrificing ratio is also 1:1.

So, old ratio and Sacrificing ratio is same.