To determine the rate of interest earned on an investment of Rs. 100,000 that grows to Rs. 144,000 after two years, we can follow these steps:
- Identify the principal amount: The principal (P) is Rs. 100,000.
- Identify the final amount: The amount (A) after two years is Rs. 144,000.
- Calculate the total interest earned: The interest (I) can be calculated by subtracting the principal from the final amount:
I = A – P
So,
I = Rs. 144,000 – Rs. 100,000 = Rs. 44,000
- Calculate the rate of interest: The formula for the rate of interest (R) can be described with the following formula:
Rate (R) = (Interest (I) / Principal (P)) x 100%
Substituting the values we have:
R = (Rs. 44,000 / Rs. 100,000) x 100%
This simplifies to:
R = 0.44 x 100% = 44%
- Conclusion: Therefore, the rate of interest earned on the investment over two years is 44% per annum.
This means that the investment grew significantly due to the interest earned on the original principal amount alone.