Explanation:

Let's go through the problem step by step.

- Principal Calculation: The total amount after 2 years is Rs26,000. We're looking to find the interest accrued over these 2 years since the amount includes both principal and interest.

- Simple Interest Formula: Simple Interest (SI) is calculated as \(SI = \frac{{P \times R \times T}}{100}\), where P is principal, R is rate, and T is time.

- Total amount formula: The total amount (A) is the sum of the principal and interest, \(A = P + SI\).

- Given: The rate is 15%, time is 2 years, and the total amount is Rs26,000.

- Set up the equation: \(P + \frac{{P \times 15 \times 2}}{100} = 26,000\).

- Solve: \(P + \frac{{30P}}{100} = 26,000\); Simplify to get \(1.3P = 26,000\); Hence, \(P = 26,000 / 1.3 = 20,000\).

- Interest Calculation: \(SI = \frac{{20,000 \times 15 \times 2}}{100} = 6,000\).

- Options Analysis:

- Option 1, Rs7,500: Too high.

- Option 2, Rs6,000: Matches our calculation correctly.

- Option 3, Rs6,500: Too high.

- Option 4, Rs8,800: Far too high.