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
Two batteries of emf's \(3V \& 6V\) and internal resistances 0.2 Ω \(\&\) 0.4 Ω are connected in parallel. This combination is connected to a 4 Ω resistor. Find:
(i) the equivalent emf of the combination
(ii) the equivalent internal resistance of the combination
(iii) the current drawn from the combination
Four students of class XII are given a problem to solve independently. Their respective chances of solving the problem are: \[ \frac{1}{2},\quad \frac{1}{3},\quad \frac{2}{3},\quad \frac{1}{5} \] Find the probability that at most one of them will solve the problem.