Question

11. Sandeep and Navdeep are partners in a firm sharing profits in 5:3 ratio. They
admit C into the firm and the new profit sharing ratio was agreed at 4:2:1.
Calculate the sacrificing ratio?
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Answer 1

$\huge\mathbb\red{AnSwEr}$

$\sf \: old \: ratio \: of \: partners = 5:3 \\ \sf \: new \:ratio \: of \: partners = 4:2:1$

• To calculate Sacrificing ratio

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

$\sf \: sacrificing \: ratio \: of \: sandeep = \frac{5}{8} - \frac{4}{7} = \frac{35 - 32}{56} = \frac{3}{56}$

$\sf \: sacrificing \: ratio \: of \: navdeep = \frac{3}{8} - \frac{2}{7} = \frac{21 - 16}{56} = \frac{5}{56}$

$\rm\purple{ \: so \: sacrificing \: ratio = 3: 5}$