A sum of money becomes thrice of itself in 20 years. Find the simple interest rate per annum?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 10%
Step 1: Let principal = P
- The sum becomes thrice of itself in 20 years
$\text{Amount} = 3P$
- Simple Interest (SI) formula:
$\text{SI} = \frac{P \cdot R \cdot T}{100}$
Here, SI = Total amount − Principal = 3P − P = 2P
$2P = \frac{P \cdot R \cdot 20}{100}$
Step 2: Solve for R
$2P = \frac{20PR}{100}$
$2 = \frac{20R}{100}$
$2 = 0.2 R$
$R = \frac{2}{0.2} = 10\%$