To answer the question "What will be the compound amount (future value) of a loan?", consider the following statements: I. Rs. 200 was borrowed for 192 months at 6% per annum, compounded annually. II. Rs. 200 was borrowed for 16 years at 6% per annum. Which of these statements provides sufficient information to determine the compounded amount?

Introduction:
This is a data sufficiency style problem that tests conceptual understanding of what information is required to compute a compound amount. Instead of directly asking for a numerical value, the question asks which given statements are enough to determine that value. Such questions are common in aptitude tests and require logical reasoning about the sufficiency of data rather than detailed calculation.

Given Data / Assumptions:

• We need to find the compound amount on a loan.
• Statement I: Rs. 200 was borrowed for 192 months at 6% per annum, compounded annually.
• Statement II: Rs. 200 was borrowed for 16 years at 6% per annum.
• Standard convention: unless otherwise mentioned, a yearly rate with compound interest is taken as compounded annually.

Concept / Approach:
For compound interest with annual compounding, the future amount A is:
A = P * (1 + r/100)^twhere P is principal, r is annual rate, and t is time in years. To compute A, we need all three parameters: P, r, and t. Data sufficiency problems ask whether each statement gives us enough information to plug into this formula. We are not required to compute the numerical answer, only to judge sufficiency.

Step-by-Step Solution:
Step 1: Analyze Statement I. It gives principal P = 200, rate r = 6% per annum, and time as 192 months.Step 2: Convert 192 months to years: 192 / 12 = 16 years. So for Statement I we have P, r, and t = 16 years, with explicit mention of compounding annually.Step 3: With these values, A can be computed from A = 200 * (1 + 6/100)^16. Therefore Statement I alone is sufficient.Step 4: Analyze Statement II. It says Rs. 200 was borrowed for 16 years at 6% per annum.Step 5: This also provides P = 200, r = 6%, and t = 16 years.Step 6: Since the main question explicitly asks about compound amount, and the rate is given per annum, we take it as annually compounded unless said otherwise. Thus A = 200 * (1 + 6/100)^16 can be computed using Statement II alone as well.Therefore, either Statement I or Statement II alone is sufficient to answer the question.

Verification / Alternative check:
If we actually computed A using Statement I or Statement II, we would obtain the same numerical value, because both effectively describe the same situation: principal 200, rate 6% per annum, and time 16 years. This confirms that each statement independently provides complete information.

Why Other Options Are Wrong:
Option stating that only I alone or only II alone is sufficient ignores the fact that both statements each individually contain all required data. The option that both statements are not sufficient is wrong because the standard formula can be applied directly in each case. The option that both together are required is also incorrect because no new information arises from combining them, they are essentially equivalent descriptions.

Common Pitfalls:
Students sometimes get distracted by the phrase 192 months and think it is something different from 16 years, or assume that the absence of the word compounded in Statement II makes it incomplete. In data sufficiency, we must apply standard assumptions consistently: a yearly rate with compound interest context implies annual compounding. Careful interpretation of wording and units is crucial.

Final Answer:
The correct conclusion is that either Statement I or Statement II alone is sufficient to determine the compound amount, so the correct option is "Either I or II alone sufficient to answer".