Simple Interest – Feasibility at 10% for 6 years (claimed half the sum): The simple interest at 10% per annum for 6 years is said to be half the principal. Decide whether such a principal exists or report impossibility.

Introduction / Context:
Under simple interest, the ratio I / P depends only on r and t via (r * t) / 100. If that ratio conflicts with a stated fraction of P, no principal can satisfy the condition. We check the claim that interest equals half the principal at 10% for 6 years.

Given Data / Assumptions:

• Rate r = 10% per annum
• Time t = 6 years
• Claim: I = (1/2) P

Concept / Approach:
Compute I / P = (r * t) / 100 = (10 * 6) / 100 = 0.60. Compare with 0.50. If unequal, the claim is impossible for any P.

Step-by-Step Solution:
I / P = 0.60 ≠ 0.50Hence, the given requirement cannot be satisfied by any principal.

Verification / Alternative check:
Take P = ₹ 5,000: I = 5,000 * 10 * 6 / 100 = ₹ 3,000, which is 60% of P, not 50%. The mismatch is intrinsic to r and t, independent of P.

Why Other Options Are Wrong:
Any numeric principal contradicts the ratio. “Data is inadequate” is weaker than “Not possible,” because the data are sufficient to show infeasibility.

Common Pitfalls:
Confusing half the amount with half the principal, or applying compound interest ideas to a simple-interest prompt, can obscure this quick ratio check.

Final Answer:
Not possible