Payment=Rs.100/- in the end of every yearRate=12% and interest is charged every half yearlyTime=2 years Find the amount at the end of two years?Options :431.01437.46424.64411.12

To solve this problem, we need to understand that the interest is compounded semi-annually. Here are the steps to solve it:

1. First, convert the annual interest rate to a semi-annual rate by dividing it by 2. So, 12% per year becomes 6% per half year.

2. Next, calculate the number of periods by multiplying the number of years by 2 (since interest is compounded semi-annually). So, 2 years becomes 4 periods.

3. Now, we can use the formula for the future value of an annuity: FV = P * [(1 + r)^n - 1] / r, where P is the payment per period, r is the interest rate per period, and n is the number of periods.

4. Substituting the given values into the formula, we get: FV = 100 * [(1 + 0.06)^4 - 1] / 0.06.

5. Simplifying this, we get: FV = 100 * [1.262476 - 1] / 0.06 = 100 * 0.262476 / 0.06 = 437.46.

So, the amount at the end of two years would be Rs. 437.46. The closest option to this value is Rs. 437.46.