Explanation:

- The sum of Rs 26,125 is split between two schemes.

- Scheme A offers 8% simple interest for 4 years.

- Interest from Scheme A = Principal × Rate × Time / 100.

- Scheme B offers 20% compound interest for 2 years.

- Interest from Scheme B = Principal × (1 + Rate/100)^Time - Principal.

- Both schemes earn equal interest.

Let's denote:

- Amount in Scheme A as A.

- Amount in Scheme B as B.

Equating the interests:

1. Interest from Scheme A: \( A \times \frac{8 \times 4}{100} = A \times 0.32 \)

2. Interest from Scheme B: \( B \times (1 + \frac{20}{100})^2 - B = B \times 1.44 - B = B \times 0.44 \)

Set them equal: \( A \times 0.32 = B \times 0.44 \)

We know: \( A + B = 26,125 \)

Calculating:

$$

A = 26,125 - B \\

(26,125 - B) \times 0.32 = B \times 0.44 \\

8,360 - 0.32B = 0.44B \\

8,360 = 0.76B \\

B = \frac{8,360}{0.76} \approx 11,000

$$

- Option 4 (Rs 11,000) is correct.

- .