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:

The correct answer is $\boxed{\text{C. }4:3:2}$.

The sacrificing ratio is the ratio in which the old partners agree to sacrifice their share of the profits in order to admit a new partner. It is calculated by subtracting the new partner’s share of the profits from the old partners’ original share of the profits.

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.