Question

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Answer 1

Answer:

5:13:6:32

Explanation:

Old ratio = A:B:C = 3:3:2

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

D's Share = A's sacrifice+B's sacrifice+C's sacrifice

4/7 =2/7+1/7+1/7

New ratio = Old ratio - sacrificing ratio.

A= 3/8-2/7=21-16/56 =5/56

B=3/8-1/7=21-8/56=13/56

C=2/8-1/7=14-8/56=6/56

New ratio = 5/56:13/56:6/56:4/7

=5:13:6:32/56=5:13:6:32

Answer 2

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$Old \: Ratio = 3:3:2\\D's \: share = \frac{4}{7}$

$A\:sacrifice\frac{2}{7} \:in\: the\:favour\:of\:D$$A's\:new\:share= \frac{3}{8} - \frac{2}{7} = \frac{21 - 16}{56} = \frac{56}{56}$

$B \: sacrifice \: \frac{1}{7} \: share \: in \: favour \: of \: D$

$B's\: new \: share = \: \frac{3}{8} - \frac{1}{7} = \frac{21 - 8}{56} = \frac{13}{56}$

$C\: sacrifice\: \frac{1}{7} \: share\: in\: favour\: of\: D$

$C's\: new\:share= \frac{2}{8}-\frac{1}{7}=\frac{14 - 8}{56}=\frac{6}{36}$

$New\: ratio= \frac{5}{56}: \frac{13}{56}: \ \frac{6}{56}: \frac{5}{56}: \frac{13}{56}: \frac{6}{56}: \frac{32}{56} \: or \: 5:13:6:32$

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