A, B and C are partners sharing profits in the ratio of 4 : 3 : 2. They admit D for $$\frac{1}{3}$$ profit of the firm. The sacrificing ratio of A, B and C will be:

In this case, the new partner is admitted for $\frac{1}{3}$ of the profit. This means that the old partners’ original share of the profits is reduced by $\frac{1}{3}$.

The sacrificing ratio is therefore:

$A:B:C = \frac{4}{3} – \frac{1}{3} : \frac{3}{3} – \frac{1}{3} : \frac{2}{3} – \frac{1}{3} = 4:3:2$

Here is a brief explanation of each option:

• Option A: $3:2:1$. This is not the correct answer because it does not take into account the new partner’s share of the profits.
• Option B: $4:2:1$. This is not the correct answer because it does not take into account the new partner’s share of the profits.
• Option C: $4:3:2$. This is the correct answer because it takes into account the new partner’s share of the profits.
• Option D: $5:3:2$. This is not the correct answer because it does not take into account the new partner’s share of the profits.