Partners P and Q have capitals of ₹90,000 and ₹110,000 respectively and share profit in the ratio 3:2. Before admission of a new partner R, the firm revalues its building, increasing its value by ₹50,000. The surplus is shared in the old ratio. R is admitted with a capital of ₹50,000 and will receive interest at 6 % per annum for 6 months before admission. After admission, the profit‑sharing ratio becomes P : Q : R = 3 : 2 : 1. The partnership earns a profit of ₹120,000 during the year of admission. Compute (i) the interest payable to R and (ii) R’s profit share after adjusting for interest.
Answer
₹1,500; ₹19,750
The correct answer is ₹1,500; ₹19,750 — 5. Conclude interest payable ₹1,500 and profit share ₹19,750.
Step-by-step solution
- 1. Compute interest to R: ₹50,000 × 6 % × (6/12) = ₹1,500.
- 2. Deduct this interest from the total profit: ₹120,000 – ₹1,500 = ₹118,500.
- 3. Total parts in new ratio = 3 + 2 + 1 = 6.
- 4. R’s share = 1/6 × ₹118,500 = ₹19,750.
- 5. Conclude interest payable ₹1,500 and profit share ₹19,750.
Common mistake: Adding interest back to the profit before division
Concept tested: Interest on admission & profit allocation
Published · How this solution was prepared and checked
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