What is the salary of D, in group of A, B, C, D E and F whose average salary is Rs.45000?
A. Total salaries of A and F is Rs.889000.
B. Total salaries of B and C is Rs.95200.

Options

A. if the data instatement A alone is sufficient to answer the question.
B. if the data in statement B alone is sufficient to answer the question.
C. if the data either in statement A alone or instatement B alone is suffieient to answer the question
D. if the data given in both statements A and B together are not sufficient to answer the question.

Explanation

To find the salary of D in the group of A, B, C, D, E, and F, we start with the information given in the question.

1. **Calculate the total salary of the group:**
The average salary of the group is Rs. 45,000, and there are 6 members (A, B, C, D, E, and F).
\[ \text{Total Salary} = \text{Average Salary} \times \text{Number of Members} = 45,000 \times 6 = 270,000 \]

2. **Analyze Statement A:**
Statement A tells us that the total salary of A and F is Rs. 88,000.
\[ A + F = 88,000 \]

3. **Analyze Statement B:**
Statement B tells us that the total salary of B and C is Rs. 95,200.
\[ B + C = 95,200 \]

4. **Express the total salary in terms of D and E:**
From the total salary calculated, we can express the total salary in terms of D and E:
\[ A + B + C + D + E + F = 270,000 \]
Substituting the values from Statements A and B:
\[ 88,000 + 95,200 + D + E = 270,000 \]
Simplifying this gives:
\[ D + E = 270,000 - 183,200 = 86,800 \]

5. **Conclusion:**
Now we have the equation \(D + E = 86,800\). However, we have two variables (D and E) and only one equation, which means we cannot uniquely determine the value of D. Therefore, we cannot find the exact salary of D with the information provided in either statement A or statement B, or even when both statements are combined.

Thus, the answer is that the data given in both statements A and B together are not sufficient to answer the question.

**Final Answer:** Option 4 - The data given in both statements A and B together are not sufficient to answer the question.

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