Asha, Deepa and Lata are partners in a firm sharing profits in the ratio of 3:2: 1. Deepa retires. After making all adjustments relating to revaluation, goodwill, Payment to Deepa and accumulated profit etc., the capital accounts of Asha and Lata showed a credit balance of Rs. 1.60.000 and Rs. 80.000 respectively. It was decided to adiust the capitals of Asha and Lata in their new profit sharing ratio. You are required to calculate the new capitals of the partners i.e Asha and Lata.

The correct option is Rs.1,80,000 & Rs.60,000.

Step-by-Step Explanation:

1. Identify the Old Profit Sharing Ratio and Partners:
The partners are Asha, Deepa, and Lata.
Their profit-sharing ratio is:
Asha : Deepa : Lata = 3 : 2 : 1.

2. Determine the New Profit Sharing Ratio:
Deepa retires from the firm.
Since no other information is given about how the remaining partners acquire Deepa's share, the new profit sharing ratio between the remaining partners, Asha and Lata, will be the same as their old relative ratio.
Therefore, the New Profit Sharing Ratio between Asha and Lata is:
Asha : Lata = 3 : 1.

3. Calculate the Total Capital of the New Firm:
After all adjustments (including goodwill, revaluation, and accumulated profits), the adjusted capitals of Asha and Lata are:
Asha's Capital = Rs. 1,60,000
Lata's Capital = Rs. 80,000

The total adjusted capital of the remaining partners represents the total capital of the newly reconstituted firm:
Total Capital = Asha's Capital + Lata's Capital
Total Capital = Rs. 1,60,000 + Rs. 80,000 = Rs. 2,40,000.

4. Calculate the New Capitals based on the New Ratio:
Now, we distribute the Total Capital of Rs. 2,40,000 between Asha and Lata in their new profit sharing ratio of 3 : 1.

Asha's New Capital:

$\text{Asha's New Capital}=\text{Rs. 2,40,000}\times \frac{3}{3+1}=\text{Rs. 2,40,000}\times \frac{3}{4}=\text{Rs. 1,80,000}$

Lata's New Capital:

$\text{Lata's New Capital}=\text{Rs. 2,40,000}\times \frac{1}{3+1}=\text{Rs. 2,40,000}\times \frac{1}{4}=\text{Rs. 60,000}$

Thus, the new capitals of Asha and Lata are Rs. 1,80,000 and Rs. 60,000 respectively.