Explanation:

To determine the simple interest for 5 years at the same rate, we first need to calculate the principal amount compounded annually for 4 years.

- The compound amount (A) is Rs 29,282 after 4 years.

- The formula for compound interest is \(A = P(1 + r/n)^{nt}\), where:

- \(P\) = principal amount

- \(r\) = annual interest rate (10% or 0.10)

- \(n\) = number of times interest is compounded per year (1 for yearly)

- \(t\) = number of years (4)

- Based on the formula:

$$

29282 = P(1 + 0.10)^4

$$

$$

29282 = P \times 1.4641

$$

$$

P = 29282 / 1.4641 \approx 20,000

$$

- Now, calculate simple interest for 5 years:

- Simple Interest (SI) formula: \(SI = P \times r \times t\)

- \(SI = 20,000 \times 0.10 \times 5 = 10,000\)

- This means the correct option is Option 1.

Correct Answer: Option 1 - 10,000

.