Question

A and B are partners sharing profits in the ratio of 3 : 2. C is admitted as a partner. The new profit-sharing ratio among A, B and C is 4 : 3 : 2 . Find out the sacrificing ratio ?

Answer 1

Sacrificing Ratio is calculated as below

Explanation:

Old ratio for partners A and B is given as 3:2.

When C is admitted as a new partner, the new ratio for A:B:C becomes= 4:3:2

To calculate sacrificing ratio, we need to deduct new ratio from old ratio.

Calculation of Sacrificing Ratio:

Sacrificing Ratio will be calculated as Old Ratio- New Ratio

A’s sacrificing ratio

$=\frac{3}{5}-\frac{4}{9}=\frac{27-20}{45}=\frac{7}{45}$

B’s sacrificing ratio

$=\frac{2}{5}-\frac{3}{9}=\frac{18-15}{45}=\frac{3}{45}$

Thus, sacrificing ratio becomes

$=\frac{7}{45}: \frac{3}{45}=7: 3$

This can also be written as 7:3

Thus, the sacrificing ratio will become 7 : 3