The given question is followed by three statements labelled I, II and III. You have to study the question and all the three statements given do decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the given question.
What is the area of the hall ?
I. Material cost of flooring per square metre is 2.50.
II. Labour cost of flooring the hall is 3500
III. Total cost of flooring the hall is 14500

Options

A. I and II only
B. II and III only
C. All, I II and III
D. None of these

Answer

To find the area of the hall based on the provided statements, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Cost of Flooring**:
- From Statement III, we know that the total cost of flooring the hall is Rs. 14,500.

2. **Identify the Labour Cost**:
- From Statement II, we know that the labour cost of flooring the hall is Rs. 3,500.

3. **Calculate the Actual Cost of Material**:
- To find the actual cost spent on materials, we subtract the labour cost from the total cost:
\[ \text{Actual Cost} = \text{Total Cost} - \text{Labour Cost} = 14500 - 3500 = 11000 \]

4. **Identify the Material Cost per Square Metre**:
- From Statement I, we know that the material cost of flooring per square metre is Rs. 2.50.

5. **Calculate the Area of the Hall**:
- To find the area, we divide the actual cost of the materials by the cost per square metre:
\[ \text{Area} = \frac{\text{Actual Cost}}{\text{Material Cost per Square Metre}} = \frac{11000}{2.50} = 4400 \text{ square metres} \]

### Conclusion:
- The area of the hall is **4400 square metres**.

### Redundant Information:
- All three statements (I, II, and III) are necessary to calculate the area of the hall. Therefore, none of the statements can be considered redundant.