The difference between the compound interest and the simple interest on Rs. X at 8.5% per annum for 2 years is Rs. 65.025. What is the value of X?

The formula for the difference between compound interest (CI) and simple interest (SI) for 2 years is:
CI−SI=P×(
100
R
​
)
2

Given:

Difference=Rs.65.025
P=X
R=8.5%
Substitute the values into the formula:

65.025=X×(
100
8.5
​
)
2

65.025=X×
10000
72.25
​

X=
72.25
65.025×10000
​

X=
72.25
650250
​
=9000