A sum of money invested at compound interest grows to Rs. 8000 in 2 years and Rs

A sum of money invested at compound interest grows to Rs. 8000 in 2 years and Rs. 9600 in 3 years. What is the rate of interest?

A sum of money invested at compound interest grows to Rs. 8000 in 2 years and Rs. 9600 in 3 years. What is the rate of interest?

Step 1: Identify the amount after 2 years, which is Rs. 8000.
Step 2: Identify the amount after 3 years, which is Rs. 9600.
Step 3: Calculate the increase in amount from year 2 to year 3: Rs. 9600 - Rs. 8000 = Rs. 1600.
Step 4: The amount at the end of year 2 is Rs. 8000.
Step 5: To find the rate of interest, use the formula: (Increase / Amount at end of year 2) * 100.
Step 6: Substitute the values: (1600 / 8000) * 100.
Step 7: Calculate the result: (0.2) * 100 = 20%.
Step 8: Conclude that the rate of interest is 20%.

Compound Interest – Understanding how compound interest works and how to calculate the rate of interest based on the growth of an investment over time.
Percentage Calculation – Calculating the percentage increase in the amount to determine the rate of interest.