Money
A sum of money doubles itself in 5 years. Find the rate of simple interest.
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A sum of money doubles itself in 5 years. Find the rate of simple interest.
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Here's how to calculate the simple interest rate:
Let:
- P = Principal amount
- r = Rate of interest per year
- t = Time in years
We know that the amount doubles in 5 years. So, the amount (A) after 5 years will be 2P.
The formula for simple interest is: A = P + (P * r * t)
Substituting the given values: 2P = P + (P * r * 5)
Simplifying the equation: 2P - P = 5Pr P = 5Pr
Divide both sides by P: 1 = 5r
Solving for r: r = 1/5 = 0.2
To express this as a percentage, multiply by 100: r = 0.2 * 100 = 20%
Therefore, the rate of simple interest is 20% per year.