What is the rate of compound interest ?
I. The amount is invested for 3 years
II. The interest earned is Rs. 1369.

Options

A. If statement I alone is sufficient but statement II alone is not sufficient.
B. If statement Il alone is sufficient but statement I alone is not sufficient.
C. If each statement alone (either I or II) is sufficient.
D. If statement and Il together are not sufficient

Answer

To determine the rate of compound interest based on the given statements, we can follow these steps:

### Step 1: Understand the formula for Compound Interest
The formula for compound interest (CI) is:
\[ CI = P \times \left(1 + \frac{r}{100}\right)^t - P \]
Where:
- \(CI\) = Compound Interest
- \(P\) = Principal amount (initial investment)
- \(r\) = Rate of interest per annum
- \(t\) = Time in years

### Step 2: Analyze Statement I
Statement I states that the amount is invested for 3 years.
- This gives us the value of \(t\) but does not provide any information about the principal amount \(P\) or the rate \(r\).

### Step 3: Analyze Statement II
Statement II states that the interest earned is Rs. 1369.
- This gives us the value of \(CI\), but without knowing the principal \(P\), we cannot find the rate \(r\).

### Step 4: Combine Statements I and II
When we combine both statements:
- We know \(t = 3\) years and \(CI = 1369\).
- However, we still do not have the value of \(P\). Without knowing the principal amount, we cannot isolate \(r\) in the formula.

### Conclusion
Since neither statement alone nor both statements together provide sufficient information to determine the rate of compound interest, the answer is that the information is insufficient.

### Final Answer
The answer is option D: Both statements together are not sufficient.