A wealthy investor who wants to invest his money is approached by five...
From the solution to the first question of the set we can see that the least profit is earned on the third highest investment.Hence, option 1.
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A wealthy investor who wants to invest his money is approached by five...
Understanding the Investments and Profits
To determine which investment yielded the least profit, we need to analyze the given conditions systematically.
Investment Breakdown
- Total investment: 100,000
- Total profit: 22,950
Each investment has specific characteristics based on the clues:
Key Clues from the Problem
- **Highest Investment**:
- Provides the third lowest profit percentage.
- Profit is 1/5 of the investment.
- **Least Investment**:
- Is 2,000 less than half of the highest investment.
- Profit is 50% of the investment.
- **Second Highest Investment**:
- Has a profit percentage of 30%.
- **Second Lowest Investment**:
- Profit percentage equals the percentage share of the highest investment in total investment.
- **Profit Percentages**:
- Least profit percent is 9%.
- The second lowest profit percentage is 6.5% (2.5% less than the third lowest).
Calculating the Profits
1. Let’s denote the investments as A (highest), B (second highest), C (third highest), D (fourth highest), and E (least).
2. From the conditions:
- A = 5 * profit on A
- E = (Highest Investment / 2) - 2000, with profit = 50% of E.
3. The arithmetic progression condition helps establish relationships among the investments.
After analyzing the profit percentages:
- The highest investment yields 20% profit, second highest 30%, and the least investment yields 50%.
- The third highest (C) has a lower percentage than A and B, leading to it being the lowest profit.
Conclusion
Therefore, the investment that gave the least profit is the **third highest investment**, confirming the correct answer is **option A**.