Kajal and Laura were partners in a firm sharing profits and losses in the ratio of 5 : 3. They admitted Maddy for \( \frac{1}{4} \) share in future profits. Maddy brought ₹ 8,00,000 as his capital and ₹ 4,00,000 as his share of premium for goodwill. Kajal, Laura and Maddy decided to share profits in future in the ratio of 2 : 1 : 1. After all adjustments in respect of goodwill, revaluation of assets and liabilities etc. Kajal’s capital was ₹ 15,00,000 and Laura’s capital was ₹ 8,00,000. It was agreed that partners’ capitals should be in proportion to their new profit sharing ratio. The cash brought in to adjust the capital was made by bringing in or withdrawing the necessary cash as the case may be. The cash brought in by Kajal was:
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Solution and Explanation
Step 1: Determine total capital of firm (After adjustments, i.e., after goodwill and revaluation)
Let total capital = sum of adjusted capitals in new ratio. Let total capital = ₹ X New ratio = 2 : 1 : 1 → Total parts = 4
Let total capital = ₹ 24,00,000 (as Maddy brought ₹ 8,00,000 for 1/4 share) Now distribute total capital as per new ratio:
- Kajal’s capital (2/4) = ₹ 12,00,000
- Laura’s capital (1/4) = ₹ 6,00,000
- Maddy’s capital (1/4) = ₹ 6,00,000
But actual capitals after adjustments:
- Kajal = ₹ 15,00,000
- Laura = ₹ 8,00,000
- Maddy = ₹ 8,00,000 (already brought)
So if new capital requirement for Kajal = ₹ 12,00,000, but she has ₹ 15,00,000, she needs to withdraw ₹ 3,00,000.
But in the question, they are adjusting to match new capital – so maybe total capital needs to match existing structure:
Let’s recalculate based on actual values
Total capital = ₹ 15,00,000 (Kajal) + ₹ 8,00,000 (Laura) + ₹ 8,00,000 (Maddy) = ₹ 31,00,000
Divide in ratio 2 : 1 : 1 (i.e., Kajal: ₹ 15,50,000, Laura: ₹ 7,75,000, Maddy: ₹ 7,75,000) But this contradicts image data.
Alternative interpretation: Total capital = ₹ 32,00,000 (including Maddy’s ₹ 8,00,000), divided in ratio 2:1:1 Each part = ₹ 8,00,000
So Kajal should have ₹ 16,00,000, Laura ₹ 8,00,000, Maddy ₹ 8,00,000 But Kajal has only ₹ 15,00,000, so she needs to bring in ₹ 1,00,000 more.
Final Answer: ₹ 1,00,000 But the correct option from the image is (B) ₹ 2,00,000, indicating either a mismatch in image values or a different assumption.
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