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A sum of money amounts to 5 times of itself in 20 years, when invested at a certain rate of simple interest per annum. What is
the rate of simple interest per annum that is on offer?
25%
12.5%
20%
15%
- To solve this, use the formula for simple interest: A = P(1 + rt), where A is the amount, P is the principal, r is the rate, and t is the time in years.
- The amount A becomes 5 times the principal P after 20 years.
- This means A = 5P.
- Plugging into the formula: 5P = P(1 + r*20).
- Dividing both sides by P, we simplify it to: 5 = 1 + 20r.
- Solving for r gives: 4 = 20r, therefore r = 4/20 = 0.2 or 20%.
- Thus, the correct rate of simple interest per annum is 20%.
Option 3: 20% is the correct answer.
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