A, B, C, and D share profit and loss in the ratio of 4 : 3 : 2 : 1. The partnership was dissolved on 31st March, 2024. The firm’s balance sheet on this date was as follows:
Liabilities | Amount (Rs.) | Assets | Amount (Rs.) |
---|---|---|---|
Creditors | 1,20,000 | Cash at Bank | 8,000 |
Bills Payable | 20,000 | Bills Receivable | 40,000 |
Capital A | 80,000 | Debtors | 1,40,000 |
Capital C | 1,20,000 | Stock | 92,000 |
Capital B | 40,000 | ||
Capital D | 20,000 | ||
Total | 3,40,000 | Total | 3,40,000 |
90% of Book value was realised from Debtors and Bills Receivable. Stock could be sold for ₹ 78,000. Outstanding salary of ₹ 2,000, which was not shown in the Balance Sheet, was also paid. The realisation expenses amounted to ₹ 6,000.
B is insolvent and only ₹ 32,000 could be recovered from him. The rule of Garner v/s Murray shall apply.
Prepare Realisation Account and Partners' Capital Account.
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 \( A \mathbf{X} = B \).