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.
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.
PR Ltd. forfeited 10,000 equity shares of ₹10 each, issued at a premium of ₹4 per share, for non-payment of the first call of ₹3 per share. The second and final call of ₹2 per share had not yet been made.
These forfeited shares were later reissued at a discount of ₹1 per share, fully paid-up.
Pass necessary journal entries for the forfeiture and reissue of shares in the books of PR Ltd. Also prepare the Share Forfeiture Account.
Devi and Anupam were partners in a firm. Their fixed capitals were ₹9,00,000 and ₹6,00,000 respectively on 1st April, 2023. The partnership deed provided for the following:
(i) Interest on capital @ 12% p.a.
(ii) Interest on drawings @ 15% p.a.
On 1st May, 2023, Devi introduced additional capital of ₹1,00,000 and on 1st June, 2023, Anupam withdrew ₹2,00,000 from her capital.
Devi withdrew ₹4,000 per month for her personal use and Anupam withdrew ₹2,000 per month for her personal use.
The net divisible profit of the firm for the year ended 31st March, 2024 after allowing interest on capital and charging interest on drawings was ₹3,00,000.
Prepare Current Accounts of the partners.
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.