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Answer 1

Answer:-

$\textbf{Given:-Old Ratio = A:B:C 3:3:2}$

• D admitted for 4/7 share of profit in new firm.

D’s share = A’s sacrifice + B’s sacrifice + C’s sacrifice

$⇒ \frac{4}{7} = \frac{2}{7} + \frac{1}{7} + \frac{1}{7}$

Now,

New Ratio = Old Ratio – Sacrificing Ratio

$⇒A = \frac{3}{8} - \frac{2}{7} = \frac{21 -16}{56} = \frac{5}{56}$

$⇒B = \frac{3}{8} - \frac{1}{7} = \frac{21 - 8}{56} = \frac{13}{56}$

$⇒C = \frac{2}{8} - \frac{1}{7} = \frac{14 - 8}{56} = \frac{6}{56}$

$⇒ \textbf{New Ratio} = \frac{5}{56}: \frac{13}{56} : \frac{6}{56} : \frac{4}{7}$

$⇒ \frac{5:13:6:32}{56} = 5:13:6:32$

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