Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer
What is the Jyoti's annual income?
I. Jyoti's monthly income is Rs. 8500 more than Amit's monthly income.
II. Rohit's monthly income is Rs. 3.5 thousand which is half Amit's monthly income.

Options

A. if the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient
B. if the Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient
C. if both Statement I and II together are needed to answer the question
D. if either the Statement I alone or Statement II alone is to sufficient to answer the question

Answer

To determine Jyoti's annual income, we need to analyze the information provided in the two statements.

### Step-by-Step Solution:

1. **Understanding Statement I**:
- Statement I tells us that Jyoti's monthly income is Rs. 8500 more than Amit's monthly income.
- Let Amit's monthly income be \( A \). Then, Jyoti's monthly income can be expressed as:
\[ J = A + 8500 \]
- However, we do not have the value of \( A \) (Amit's monthly income) from this statement alone. Therefore, Statement I alone is **not sufficient** to determine Jyoti's annual income.

2. **Understanding Statement II**:
- Statement II states that Rohit's monthly income is Rs. 3500, which is half of Amit's monthly income.
- If Rohit's monthly income is Rs. 3500, then Amit's monthly income \( A \) can be calculated as:
\[ A = 2 \times 3500 = 7000 \]
- This gives us Amit's monthly income, but we still cannot determine Jyoti's monthly income without additional information about Jyoti.

3. **Combining Statements I and II**:
- Now that we have \( A = 7000 \) from Statement II, we can substitute this value into the equation from Statement I:
\[ J = 7000 + 8500 = 15500 \]
- Thus, Jyoti's monthly income is Rs. 15500.

4. **Calculating Jyoti's Annual Income**:
- To find Jyoti's annual income, we multiply her monthly income by 12:
\[ \text{Jyoti's Annual Income} = 15500 \times 12 = 186000 \]

### Conclusion:
- Jyoti's annual income is Rs. 186000.

### Final Answer:
- Both statements together are needed to answer the question.