15. The following is the balance sheet of Bubai and Rubai, who share profits and losses in the ratio of [tex]3:2[/tex] respectively.

Balance Sheet of Bubai and Rubai as on 31st December, 2022

They agreed to admit Tubai into the partnership, giving him one-fifth share of profits on the following terms:

1. The value of the building is to be increased by [tex]₹ 2,000[/tex].
2. The value of the plant is to be increased by [tex]₹ 3,000[/tex].
3. Goodwill is to be valued at [tex]₹ 5,000[/tex].
4. Tubai is to bring in capital to the extent of one-fifth of the total capital of the new firm after adjustments.

Hints: One-fifth of the total capital of the firm is equal to one-fourth of the capitals of Bubai and Rubai.

Let's break down the given problem step-by-step, where we deal with the values in Bubai and Rubai's balance sheet and make the necessary adjustments for Tubai's admission into the partnership.

### Step 1: Initial Values from the Balance Sheet
- Initial Value of Building: ₹10,000
- Initial Value of Plant: ₹5,000
- Capital of Bubai: ₹15,000
- Capital of Rubai: ₹10,000

### Step 2: Valuation Adjustments
We need to adjust the values of the Building and Plant, and also account for the Goodwill.
- Increased Value of Building: ₹2,000
- Increased Value of Plant: ₹3,000
- Goodwill: ₹5,000

### Step 3: Updated Value of Assets
After making the necessary adjustments, we recalculate the values:
- Final Value of Building: Initial Value + Increase = ₹10,000 + ₹2,000 = ₹12,000
- Final Value of Plant: Initial Value + Increase = ₹5,000 + ₹3,000 = ₹8,000

### Step 4: Calculation of Total Initial Capital
Total initial capital of Bubai and Rubai before adjustments:
- Total Initial Capital: ₹15,000 (Bubai) + ₹10,000 (Rubai) = ₹25,000

### Step 5: Calculation of Total Adjusted Capital
The total capital is adjusted by the increments in assets and goodwill:
- Total Adjusted Capital: ₹25,000 (Initial) + ₹2,000 (Building) + ₹3,000 (Plant) + ₹5,000 (Goodwill) = ₹35,000

### Step 6: Tubai’s Share Calculation
Tubai is to bring in capital equivalent to one-fifth of the total adjusted capital.
- Fraction of Share for Tubai: 1/5
- Tubai’s Required Capital: 1/5 * ₹35,000 = ₹7,000

### Final Summary
- Final Building Value: ₹12,000
- Final Plant Value: ₹8,000
- Total Initial Capital: ₹25,000
- Total Adjusted Capital: ₹35,000
- Tubai’s Contribution: ₹7,000

This completes the detailed step-by-step solution to the problem based on the balance sheet and adjustments.