Sudha and Sudhir were partners in a firm sharing profits and losses in the ratio of 4 : 1. On 1st April, 2023, their fixed capitals were ₹12,00,000 and ₹4,00,000 respectively. On 1st July, 2023, Sudha invested ₹2,00,000 as additional capital. On 1st August, 2023, Sudhir withdrew ₹50,000 from his capital.
The partnership deed provided for the following:
(i) Interest on capital @ 6% p.a.
(ii) Interest on drawings @ 8% p.a.
During the year, Sudha withdrew ₹60,000 and Sudhir withdrew ₹40,000 for personal use. After providing interest on capital and charging interest on drawings, the net profit of the firm for the year ended 31st March, 2024 was ₹3,50,000.
Prepare Current Accounts of Sudha and Sudhir.
Dr. | Cr. | ||
---|---|---|---|
Particulars | ₹ | Particulars | ₹ |
Drawings | 60,000 | Interest on Capital | 82,000 |
Interest on Drawings | 2,400 | Profit transferred to Capital A/c | 2,80,000 |
Total | 3,62,000 | ||
Balance c/d | 2,99,600 | ||
Total | 3,62,000 |
Dr. | Cr. | ||
---|---|---|---|
Particulars | ₹ | Particulars | ₹ |
Drawings | 40,000 | Interest on Capital | 22,500 |
Interest on Drawings | 1,600 | Profit transferred to Capital A/c | 70,000 |
Total | 92,500 | ||
Balance c/d | 50,900 | ||
Total | 92,500 |
Rupal, Shanu and Trisha were partners in a firm sharing profits and losses in the ratio of 4:3:1. Their Balance Sheet as at 31st March, 2024 was as follows:
(i) Trisha's share of profit was entirely taken by Shanu.
(ii) Fixed assets were found to be undervalued by Rs 2,40,000.
(iii) Stock was revalued at Rs 2,00,000.
(iv) Goodwill of the firm was valued at Rs 8,00,000 on Trisha's retirement.
(v) The total capital of the new firm was fixed at Rs 16,00,000 which was adjusted according to the new profit sharing ratio of the partners. For this necessary cash was paid off or brought in by the partners as the case may be.
Prepare Revaluation Account and Partners' Capital Accounts.
Bittu and Chintu were partners in a firm sharing profit and losses in the ratio of 4 : 3. Their Balance Sheet as at 31st March, 2024 was as follows:
On 1st April, 2024, Diya was admitted in the firm for \( \frac{1}{7} \)th share in the profits on the following terms:
Prepare Revaluation Account and Partners' Capital Accounts.
A current-carrying coil is placed in an external uniform magnetic field. The coil is free to turn in the magnetic field. What is the net force acting on the coil? Obtain the orientation of the coil in stable equilibrium. Show that in this orientation the flux of the total field (field produced by the loop + external field) through the coil is maximum.
Three students, Neha, Rani, and Sam go to a market to purchase stationery items. Neha buys 4 pens, 3 notepads, and 2 erasers and pays ₹ 60. Rani buys 2 pens, 4 notepads, and 6 erasers for ₹ 90. Sam pays ₹ 70 for 6 pens, 2 notepads, and 3 erasers.
Based upon the above information, answer the following questions:
(i) Form the equations required to solve the problem of finding the price of each item, and express it in the matrix form \( A \mathbf{X} = B \).