Question

Yuvraj and Yogesh were partners in a firm sharing profits in the ratio of 2: 1. They admitted Yogita as a new partner for `1/5` th share in future profits. Capital of Yuvraj and Yogesh were ₹ 450,000 and ₹ 1,50,000 respectively. Yogita brought ₹  2,50,000 as her capital. The value of goodwill of the firm on Yogita's admission was ______.

विकल्प

• ₹ 5,50,000

• ₹ 8,50,000

• ₹ 12,50,000

• ₹ 4,00,000

Answer 1

Yuvraj and Yogesh were partners in a firm sharing profits in the ratio of 2: 1. They admitted Yogita as a new partner for `1/5` th share in future profits. Capital of Yuvraj and Yogesh were ₹ 450,000 and ₹ 1,50,000 respectively. Yogita brought ₹  2,50,000 as her capital. The value of goodwill of the firm on Yogita's admission was ₹ 4,00,000.

Explanation: 

Yogita brought capital for 1/5^th Share = ₹ 2,50,000

Total capital of the firm =`₹ 2,50,000 xx 5/1 = ₹ 12,50,000`

Actual total capital of Yuvraj, Yogesh and Yogita = ₹ 4,50,000 + ₹ 1,50,000 + ₹ 2,50,000

= ₹ 8,50,000

Value of GoodWill of the firm = Total capital of firm - Actual total capital 

= ₹ 12,50,000 - ₹ 8,50,000 

= ₹ 4,00,000