Goodwill is (₹160000) and the new partner takes (1/4) share. He brings (₹30000) in cash. Sacrificing ratio is (5:3). How much will the first old partner receive from the cash part?

Correct answer: (₹18750)

The direct answer is A: the first old partner receives ₹18,750 from the ₹30,000 cash brought. The question says to distribute the cash part in the sacrificing ratio. That ratio is 5:3, so the total is 8 parts. The first partner receives \(5/8\) of the cash: \(₹30,000\times5/8=₹18,750\). Option A is correct. Option B, ₹25,000, would be five-sixths and does not follow 5:3. Option C, ₹11,250, is the second partner’s share, because \(₹30,000\times3/8=₹11,250\). Option D, ₹40,000, is greater than the cash actually brought and is impossible in this distribution. The total distributed must equal ₹30,000, and ₹18,750+₹11,250=₹30,000. The stated total goodwill and new share would imply ₹40,000 as the full premium, but the question specifically asks about the cash part, so ₹30,000 is the relevant base.