Arun started a business investing Rs. 38000. After 5 months Bakul join...
Given:
- Arun started a business with a capital of Rs. 38000.
- Bakul joined after 5 months with a capital of Rs. 55000.
- Total profit at the end of the year was Rs. 22000.
To find:
The approximate difference between the share of profits of Arun and Bakul.
Solution:
To find the share of profits for each partner, we need to calculate their capitals for the entire year.
Calculating Arun's Capital:
Arun invested Rs. 38000 for the entire year.
Calculating Bakul's Capital:
Bakul joined after 5 months, so his capital was invested for 7 months.
Therefore, Bakul's capital for the entire year = (55000 * 12) / 7 = Rs. 94285.71 (approx.)
Calculating the Total Capital:
Total capital = Arun's capital + Bakul's capital = 38000 + 94285.71 = Rs. 132285.71 (approx.)
Calculating the Ratio of Profits:
The ratio of profits is calculated based on the ratio of capital invested.
Arun's share of profit = (Arun's capital / Total capital) * Total profit
Bakul's share of profit = (Bakul's capital / Total capital) * Total profit
Calculating Arun's Share of Profit:
Arun's share of profit = (38000 / 132285.71) * 22000 = Rs. 6307.69 (approx.)
Calculating Bakul's Share of Profit:
Bakul's share of profit = (94285.71 / 132285.71) * 22000 = Rs. 15692.31 (approx.)
Calculating the Difference:
Difference in shares of profit = Bakul's share of profit - Arun's share of profit
= 15692.31 - 6307.69
= Rs. 9384.62 (approx.)
Therefore, the approximate difference between the share of profits of Arun and Bakul is Rs. 9384.62, which is closest to option D: Rs. 1857.