Question

A b and c are partner sharing profit in the ratio of 3:2:1 they agree to share profit in equal proportion with effect from 1st april 2017 you are required to calculate sacrificing ratio and gaining ratio jac

Answer 1

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Answer 2

A sacrificed \frac{1}{6} of his share and C gained \frac{1}{6} of his share

Given:

The partnership ratio $A:B:C = 3:2:1$

Later, they decided to have equal ratios in 1st April.

Therefore, $A:B:C = 1:1:1$

Old ratio = $3:2:1$

New ratio = $1:1:1$

To find:

Sacrificing ratio and gaining ratio

Formula:

Sacrificing ratio = Old ratio – New ratio

$A = \frac{3}{6}-\frac{1}{3} = \frac{2}{3}-\frac{1}{3}=\frac{1}{3}$

$B = \frac{2}{6}-\frac{1}{3}=\frac{1}{3}-\frac{1}{3} = 0$

$C = \frac{1}{6}-\frac{1}{3}=\frac{1}{6}-\frac{2\times1}{2\times3}=\frac{1}{6}-\frac{2}{6}=-\frac{1}{6}$ (gaining ratio)

Hence making A sacrifice ($\frac{1}{6}$ of his share) and C ($\frac{1}{6}$ of his share) the gainer.

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