Gaurav and Rana are partners in a firm sharing profits in the ratio of 3:2. Their capitals were Rs. 90,000 and Rs. 60,000 respectively. They admitted Rajiv on April 1, 2025 as a new partner for 1/4 share in the future profits. Rajiv brought Rs. 80,000 as his capital. Calculate the value of goodwill of the firm.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs. 90,000
When the value of goodwill is not given, it is inferred from the capital the new partner brings and the share he gets. His capital shows what the capital of the whole new firm should be; the shortfall of the capital actually in the firm from that figure is the goodwill (hidden goodwill).
Rajiv brings Rs. 80,000 for a 1/4 share
Capital of the new firm = Rs. 80,000 × 4 = Rs. 3,20,000
Actual total capital = Rs. 90,000 + Rs. 60,000 + Rs. 80,000 = Rs. 2,30,000
Goodwill = Rs. 3,20,000 − Rs. 2,30,000 = Rs. 90,000
Note: NTA picked this question from an NCERT (2026-27) illustration and changed the figures. Do not ignore NCERT while practising numericals.
NCERT (2026-27 edition):
|
