Explanation:

To determine which option is correct, let's analyze the problem:

- Initial Info: A sum becomes Rs4,600 in 5 years and Rs6,000 in 8 years with simple interest.

- Interest for 3 years: Rs6,000 (8 years) - Rs4,600 (5 years) = Rs1,400 for 3 years.

- Annual Interest: Rs1,400 / 3 = Rs466.67.

- 5 Years Interest: Rs466.67 * 5 = Rs2,333.33.

- Principal: Rs4,600 - Rs2,333.33 = Rs2,266.67.

- Total Simple Interest for Rs8,500: Rs8,500 * 5 years * Rs466.67 / Rs2,266.67.

Now let's verify calculations with available options:

- Option 1: Rs10,515

- Option 2: Rs10,215

- Option 3: Rs11,375

- Option 4: Rs11,460

Correct Answer: None of the options visibly seem to match the calculated interest exactly due to computation complexity without exact rate, but for estimate we need to consider possibly closest higher rate results which fall under rough calculations which implies missed approximation.

Answer Verification: Unfortunately, calculations needs rechecking and .