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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 adjust 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.

Solution

✅ Correct Option: 2

After Deepa's retirement and all adjustments, the capital balances are:

  • Asha: Rs. 1,60,000
  • Lata: Rs. 80,000

Total Capital = 1,60,000 + 80,000 = Rs. 2,40,000


To find the new profit sharing ratio between Asha and Lata, we look at their original shares:

Original ratio = Asha : Deepa : Lata = 3 : 2 : 1

When Deepa retires, Asha and Lata continue in their existing proportion to each other.

New ratio of Asha and Lata = 3 : 1


The total capital of Rs. 2,40,000 needs to be distributed in the ratio 3 : 1:

Asha's New Capital = 33+1×2,40,000=34×2,40,000\frac{3}{3+1} \times 2,40,000 = \frac{3}{4} \times 2,40,000 = Rs. 1,80,000

Lata's New Capital = 13+1×2,40,000=14×2,40,000\frac{1}{3+1} \times 2,40,000 = \frac{1}{4} \times 2,40,000 = Rs. 60,000


Since Asha's capital needs to increase from Rs. 1,60,000 to Rs. 1,80,000, she will bring in Rs. 20,000. Since Lata's capital needs to decrease from Rs. 80,000 to Rs. 60,000, she will withdraw Rs. 20,000.

Answer: Rs. 1,80,000 & Rs. 60,000

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