Question

KLM partner of ratio 3 ratio 2 rishu to the admit and for one bi vi share it is agreed that would retain his original sharecalculate sacrificing ratio

Answer 1

Correct Question:-

K and L are partners sharing ratio in 3:2. They admit M to partnerships for 1/5 share. It is agreed that would his original share. Calculate sacrificing ratio of old partner

Answer:-

$\tt \: old \: \: ratio \: of \: partners = 3:2 \\\tt share \: of \: m \: = \frac{1}{5}$

• To find sacrificing ratio:-

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

$\tt \: new \: ratio \: of \: partners: - \\ \tt \: remaining \: \: portion = 1 - \frac{1}{5} = \frac{4}{5} \\ \tt \: share \: of \: k = \frac{3}{5} \times \frac{4}{5} = \frac{12}{25} \\ \tt \: share \: of \: l \: = \frac{2}{5} \times \frac{4}{5} = \frac{8}{25} \\ \tt \: share \: of \: m = \frac{1}{5} = \frac{5}{25}$

$\rm\implies\purple{ \: new \: ratio \: = 12:8:5}$

$\tt \: sacrificing \: ratio \: of \: partners \: = \\ \tt \: of \: k = \frac{3}{5} - \frac{12}{25} = \frac{3 \times 5}{5 \times 5} - \frac{12}{25} = \frac{3}{25}$

$\tt \: of \: l = \frac{2}{5} - \frac{8}{25} = \frac{2 \times 5}{5 \times 5} - \frac{8}{25} = \frac{2}{25}$

$\rm\implies\blue{\: so \: sacrificing \: ratio \: = 3:2}$