At what rate of simple interest will the sum double itself in 2 years?
Question
At what rate of simple interest will the sum double itself in 2 years?
Solution 1
To find the rate of simple interest, we can use the formula:
Simple Interest = Principal * Rate * Time
In this case, we want the sum to double itself in 2 years. This means that the final amount will be twice the initial amount.
Let's assume the initial amount is P. So, the final amount will be 2P.
We can now set up the equation:
2P = P * Rate * 2
Simplifying the equation, we get:
2 = Rate * 2
Dividing both sides by 2, we find:
Rate = 1
Therefore, the rate of simple interest required for the sum to double itself in 2 years is 100%.
Solution 2
To find the rate of simple interest, we can use the formula:
Simple Interest = Principal * Rate * Time
In this case, we want the sum to double itself in 2 years. This means that the final amount will be twice the initial amount.
Let's assume the initial amount is P. So, the final amount will be 2P.
We can now set up the equation:
2P = P * Rate * 2
Simplifying the equation, we get:
2 = Rate * 2
Dividing both sides by 2, we find:
Rate = 1
Therefore, the rate of simple interest required for the sum to double itself in 2 years is 100%.
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