Simple Interest – Repeat feasibility check (8% for 6 years equals half the sum): The simple interest on a sum at 8% per annum for 6 years is claimed to be half the principal. Determine whether a unique sum exists or report inadequacy.

Introduction / Context:
This is the same structural check as earlier feasibility problems. Under simple interest, the fraction I / P depends solely on r and t. If it does not equal the claimed fraction, no specific principal can satisfy the condition, and a unique sum cannot be determined.

Given Data / Assumptions:

• r = 8% per annum
• t = 6 years
• Claim: I = (1/2) P

Concept / Approach:
Compute I / P = (r * t) / 100. Compare with 1/2. If unequal, the data do not yield a unique principal compatible with the claim.

Step-by-Step Solution:
I / P = (8 * 6) / 100 = 0.48Claim requires 0.50 → inconsistent. Therefore no unique P exists under this claim.

Verification / Alternative check:
Testing any P shows the same 48% outcome, not 50%. Thus the contradiction is independent of P.

Why Other Options Are Wrong:
Specific rupee values cannot fix a percentage inconsistency. “Not possible” is acceptable wording; the intended key is that the data do not allow a unique principal to be found.

Common Pitfalls:
Misreading the claim as “half the amount” would lead to different equations. The problem clearly mentions the principal.

Final Answer:
Data inadequate