- The formula for Simple Interest (SI) is SI = (P R T) / 100, where P is principal, R is rate, and T is time. - Given P = Rs. 4500 and T = 2.5 years. Let the two rates be R1 and R2. - The simple interests are SI1 = (4500 R1 2.5) / 100 and SI2 = (4500 R2 2.5) / 100. - The difference in interests is given as Rs. 450: |SI1 - SI2| = 450. - Substitute the SI 100| = 450. - Factor out the common terms: (4500 2.5 / 100) |R1 - R2| = 450. - Calculate the coeffi‐ - Solve for |R1 - R2|: |R1 - R2| = 450 / 112.5. - To simplify the division, multiply numerator and denominator by 10: 4500 / 1125. - Dividing 4500 by 1125 gives 4. (1125 4 = 4500). - The difference between the rates of interest is 4%.