Peter started a retail business by investing Rs. 25000. After eight mo...
Let's calculate the share of Peter in the profit step by step.
Given information:
- Peter invested Rs. 25,000 in the business.
- Sam joined after eight months with a capital of Rs. 30,000.
- They earned a profit of Rs. 18,000 after 2 years.
To calculate the share of Peter in the profit, we need to consider the ratio of their investments and the time period for which they invested.
1. Calculate the ratio of their investments:
- Peter invested Rs. 25,000 for the entire 2 years.
- Sam invested Rs. 30,000 for the remaining (2 - 8/12) years (i.e., 1 year and 4 months).
To calculate the ratio, we multiply the capital with the time period:
- Peter's investment = Rs. 25,000 * 2 = Rs. 50,000
- Sam's investment = Rs. 30,000 * (1 + 4/12) = Rs. 30,000 * (16/12) = Rs. 40,000
Therefore, the ratio of their investments is 50,000:40,000, which simplifies to 5:4.
2. Calculate the share of Peter in the profit:
- The total profit earned is Rs. 18,000.
- We can divide this profit in the ratio of their investments:
- Peter's share = (5 / (5+4)) * 18,000 = (5/9) * 18,000
- Sam's share = (4 / (5+4)) * 18,000 = (4/9) * 18,000
Let's calculate the values:
- Peter's share = (5/9) * 18,000 = Rs. 10,000
- Sam's share = (4/9) * 18,000 = Rs. 8,000
Therefore, the share of Peter in the profit is Rs. 10,000 (option c).