Answer:
Using the formula:

where
A is the total amount
P is the principal
I is the Simple Interest
As per the statement:
Principal(P) = 5300 rupees.
rate of interest(r) = 6.5% = 0.065
Total amount(A) = 6678 rupees.
Then using above formula we have;

Subtract 5300 both sides we get;

or

We have to find the time period.
Using formula of Simple interest:

where r is the rate of interest (in decimal)
here, r = 6.5% = 0.065
Substitute the given values top find t:

⇒
Divide both sides by 344.5 we have;

Therefore, the time period t in years is 4 years
The formula is
A=p e^rt
A future value?
P present value 500
E constant
R interest 0.011
T time 15 years
A=500×e^(0.011×15)
A=589.7