Kavita and Lalita are partners, sharing profits in the ratio of 2 : 1. They decide to admit Mohan for a 1/4 share in future profits with a guaranteed amount of 25,000. Both Kavita and Lalita undertake to meet the liability arising due to the guaranteed amount to Mohan in their respective profit-sharing ratio. The firm earned profits of 76,000 for the year 2022–23. The deficiency borne by Kavita is:

The correct option is 4,000.

Let us understand the step-by-step breakdown of how this deficiency is calculated:

Step 1: Calculate Mohan's actual share of profit from the total firm's profit.
The total profit earned by the firm for the year 2022–23 is 76,000.
Mohan is admitted for a $\frac{1}{4}$ share in future profits.
Therefore, Mohan's share of profit is:
$\mathrm{76,000}\times \frac{1}{4}=\mathrm{19,000}$

Step 2: Determine the deficiency in Mohan's guaranteed profit.
Mohan is guaranteed a minimum profit of 25,000.
Since his actual share is only 19,000, there is a deficiency.
Deficiency in Mohan's profit = Guaranteed Amount - Actual Share of Profit
$\text{Deficiency}=\mathrm{25,000}-\mathrm{19,000}=\mathrm{6,000}$

Step 3: Calculate the deficiency borne by Kavita.
Both Kavita and Lalita have agreed to meet the liability arising due to the guaranteed amount in their respective profit-sharing ratio of 2 : 1.
Therefore, Kavita's share of the deficiency is:
$\mathrm{6,000}\times \frac{2}{3}=\mathrm{4,000}$

Thus, the deficiency borne by Kavita is 4,000.