The difference between C.I and S.I on a certain sum of money invested for 3 years at 6% p.ais ` 110.16. The principle is

To find the difference between compound interest (C.I) and simple interest (S.I) on a certain sum of money invested for 3 years at 6% per annum, we can follow these steps:

Step 1: Let's assume the principal amount as 'P'.

Step 2: We know that the formula for simple interest is S.I = (P * R * T) / 100, where R is the rate of interest and T is the time period.

Step 3: Using the given information, we can calculate the simple interest as follows: S.I = (P * 6 * 3) / 100

Step 4: Now, let's calculate the compound interest. The formula for compound interest is C.I = P * (1 + R/100)^T - P, where R is the rate of interest and T is the time period.

Step 5: Using the given information, we can calculate the compound interest as follows: C.I = P * (1 + 6/100)^3 - P

Step 6: The difference between C.I and S.I is given as 110.16. So, we can set up the equation: C.I - S.I = 110.16

Step 7: Substitute the values of C.I and S.I from steps 5 and 3 into the equation: P * (1 + 6/100)^3 - P - (P * 6 * 3) / 100 = 110.16

Step 8: Simplify the equation and solve for P.

Once you find the value of the principal amount (P), you can calculate the compound interest and simple interest using the formulas mentioned in steps 4 and 3, respectively.