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Peter started a retail business by investing Rs. 25000. After eight months Sam joined him with a capital of Rs. 30,000. After 2 years they earned a profit of Rs. 18000. What was the share of Peter in the profit?
  • a)
    Rs. 12000
  • b)
    Rs. 16000
  • c)
    Rs. 10000
  • d)
    Rs. 20000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
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).
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Peter started a retail business by investing Rs. 25000. After eight months Sam joined him with a capital of Rs. 30,000. After 2 years they earned a profit of Rs. 18000. What was the share of Peter in the profit?a)Rs. 12000b)Rs. 16000c)Rs. 10000d)Rs. 20000Correct answer is option 'C'. Can you explain this answer?
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