The present value and amount of an annuity certain can be calculated using the formula:

Present Value = Amount / (1 + r)^n

where:
- Present Value is the current value of the annuity
- Amount is the total value of the annuity at the end of the term
- r is the interest rate per period
- n is the number of periods

In this case, we are given that the Present Value is Rs. 2000 and the Amount is Rs. 3000.

Let's calculate the rate of interest using the given information.

1. Calculation:
Present Value = Amount / (1 + r)^n
Rs. 2000 = Rs. 3000 / (1 + r)^n

To find the rate of interest, we need to solve this equation for r. However, we need additional information to proceed.

2. Available options:
a. 4%
b. 3.5%
c. 5%
d. 3%

To determine the correct rate of interest, we can substitute each option into the equation and see which one satisfies the given conditions.

3. Substitution:
a. If r = 4%
Rs. 2000 = Rs. 3000 / (1 + 0.04)^n

b. If r = 3.5%
Rs. 2000 = Rs. 3000 / (1 + 0.035)^n

c. If r = 5%
Rs. 2000 = Rs. 3000 / (1 + 0.05)^n

d. If r = 3%
Rs. 2000 = Rs. 3000 / (1 + 0.03)^n

By substituting each option, we can solve the equation for n and see which option satisfies the given conditions.

4. Further calculations:
By solving the equation for each option and comparing the calculated values of n, we can determine the correct rate of interest.

For example, let's solve the equation for option a:

Rs. 2000 = Rs. 3000 / (1 + 0.04)^n

2000(1 + 0.04)^n = 3000

(1.04)^n = 3000 / 2000

(1.04)^n = 1.5

Taking the logarithm of both sides:

n * log(1.04) = log(1.5)

n = log(1.5) / log(1.04)

Using a calculator, we can find the value of n for each option and determine the correct rate of interest.

By following these steps, we can calculate the rate of interest and determine the correct option.