Asha, Ashish and Naman were partners in a firm sharing profits and losses in the ratio of 2 : 5 : 3. The firm closes its books on 31st March every year. On 31st December, 2024 Ashish died. On the date of his death, there was a balance of ₹3,00,000 in his capital account and ₹2,00,000 in General Reserve.
The partnership deed provided that on the death of a partner, his representatives will be entitled to the following:
(i) Balance in the capital account and interest on the same @ 10% p.a.
(ii) His share in the goodwill of the firm. The goodwill of the firm on Ashish’s death was valued at ₹6,00,000.
(iii) His share in the profits of the firm to be calculated on the basis of previous year’s profit. The profit of the firm for the year ended 31st March, 2024 was ₹3,60,000.
Prepare Ashish’s Capital Account to be presented to his executors.
Mita and Vihaan were partners in a firm sharing profits and losses in the ratio of 3:2.
On 31st March, 2024 their Balance Sheet was as follows:
Liabilities | Amount (₹) | Assets | Amount (₹) |
---|---|---|---|
Sundry Creditors | 2,00,000 | Cash | 50,000 |
Capitals: | Sundry Debtors | 2,00,000 | |
Mita | 4,00,000 | Less: Provision for Doubtful Debts | (7,000) |
Vihaan | 3,00,000 | 1,93,000 | |
Stock | 2,50,000 | ||
Plant and Machinery | 3,50,000 | ||
Patents | 57,000 | ||
Total | 9,00,000 | Total | 9,00,000 |
On the above date, Zen was admitted as a new partner for 4/15 share in the profits on the following terms:
Pass necessary journal entries for the above transactions in the books of the firm on Zen’s admission
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 \( A \mathbf{X} = B \).