Total goodwill is (₹250000). The new partner takes (1/5) share but brings only (₹35000) in cash. What is the goodwill not brought?

Correct answer: (₹15000)

The direct answer is option A, ₹15,000. First calculate the goodwill premium required from the new partner. Total goodwill is ₹2,50,000 and the new partner receives 1/5 share. Therefore, required premium = ₹2,50,000 × 1/5 = ₹50,000. He brings ₹35,000 in cash. The goodwill not brought is the difference: ₹50,000 − ₹35,000 = ₹15,000. Option A is correct. Option B, ₹50,000, is the full premium required before deducting cash. Option C, ₹35,000, is the amount actually brought, not the amount missing. Option D, ₹85,000, incorrectly adds the required premium and the cash brought; the cash must be subtracted because it has already been paid. The phrase “not brought” means the unpaid part of the new partner’s goodwill obligation. The calculation does not require the old profit-sharing ratio because the question asks only for the amount not brought. Memory cue: find the partner’s required share first, then subtract what he actually brings.