What is rate p.c.p.a. on a amount of Rs. 6,000 deposited in a Bank ?
A. The simple interest for four years is Rs. 3600.
B. The difference between the simple interest and compound interest is Rs. 894.0375.

Options

A. if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
B. if the statement B alone is sufficient to answer the question, the statement A alone is not sufficient.
C. if both statements A and B together are needed to answer the question.
D. if either the statement A alone or statement B alone is sufficient to answer the question

Explanation

To determine the rate of interest per annum (p.c.p.a.) on an amount of Rs. 6,000 deposited in a bank, we will analyze the two statements provided.

### Step-by-Step Solution:

1. **Understanding the Problem**:
We need to find the rate of interest (R) on a principal amount (P) of Rs. 6,000. We have two statements to evaluate.

2. **Using Statement A**:
- Statement A states that the simple interest (SI) for four years is Rs. 3,600.
- The formula for simple interest is:
\[ SI = \frac{P \times R \times T}{100} \]
- Here, \(P = 6000\), \(SI = 3600\), and \(T = 4\) years.
- Plugging in the values:
\[ 3600 = \frac{6000 \times R \times 4}{100} \]
- Rearranging the equation to solve for R:
\[ 3600 = \frac{24000R}{100} \]
\[ 3600 = 240R \]
\[ R = \frac{3600}{240} = 15 \]
- Therefore, the rate of interest \(R\) is 15%.

3. **Using Statement B**:
- Statement B states that the difference between the compound interest (CI) and simple interest (SI) is Rs. 894.0375.
- We know from Statement A that \(SI = 3600\).
- Therefore, we can express CI as:
\[ CI - 3600 = 894.0375 \]
\[ CI = 3600 + 894.0375 = 4494.0375 \]
- To find the rate using this information, we would typically use the formula for compound interest, but we do not have enough information to isolate R without knowing the time period or compounding frequency. Thus, we cannot determine R from this statement alone.

4. **Conclusion**:
- From Statement A, we were able to find the rate of interest as 15%.
- From Statement B, we cannot find the rate of interest without additional information.

### Final Answer:
- The answer is that **only Statement A is sufficient** to determine the rate of interest, while Statement B is not sufficient.