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Step 3: The New Firm — How Do B and C Share?
C is coming in with a 1/3 share. Since the total must add up to 1 (or 100%), B gets the
remaining 2/3. Simple, right?
But wait — there's a condition. B and C must introduce enough capital so that:
1. A is fully paid off (Rs 1,09,000 in cash), AND
2. After all of this, the firm still has Rs 20,000 as working capital (cash left to run the
day-to-day business)
This means the firm needs to have Rs 20,000 sitting in the bank after paying A. So the total
cash needed = Rs 1,09,000 + Rs 20,000 = Rs 1,29,000. But wait — the firm already has Rs
34,000 in the bank! So B and C only need to bring in Rs 1,29,000 − Rs 34,000 = Rs 95,000
together.
Step 4: Proportionate Capital for B and C
Here's the most interesting part. The problem says B and C should contribute capital
proportionate to their profit-sharing ratio. That means:
• B's capital : C's capital = 2:1
Now, what is the total capital of the new firm? We figure this out from the new Balance
Sheet. After paying A, the remaining assets of the firm are: Land and Building (Rs 96,000
after revaluation), Furniture (Rs 18,000), Debtors (Rs 48,000), and Cash of Rs 20,000. Total
assets = Rs 1,82,000. Less creditors of Rs 34,000 = Net capital of the firm = Rs 1,48,000.
Since B's share is 2/3 and C's is 1/3:
• B's capital = 2/3 × Rs 1,48,000 = Rs 98,667
• C's capital = 1/3 × Rs 1,48,000 = Rs 49,333
But B already had capital in the old firm (after all adjustments). So B may need to bring in
more cash, or C needs to bring in all of his fresh. The difference between what they should
have and what they already have is what each partner physically pays in.
The Golden Concepts to Lock In
This question teaches you four beautiful accounting ideas in one go.
The first is revaluation on reconstitution — whenever the firm's constitution changes
(retirement, admission, death), all assets must be brought to current market value so that