A, B and C contract a work for Rs. 1100. Together A and B are to do `7/11 `of the work. The share of C should be

Options

A. Rs 400
B. Rs 300
C. Rs 200
D. Rs `(183)1/3`

Answer

To find the share of C in the contract work, we can follow these steps:

### Step-by-Step Solution:

1. **Determine the Total Work**:
The total contract amount is Rs. 1100.

2. **Identify the Work Done by A and B**:
Together, A and B are to do \( \frac{7}{11} \) of the work.

3. **Calculate the Work Done by C**:
Since A and B are doing \( \frac{7}{11} \) of the work, C will do the remaining work. The remaining work can be calculated as:
\[ \text{Work done by C} = 1 - \frac{7}{11} = \frac{4}{11} \]

4. **Calculate C's Share of the Total Amount**:
To find C's share, we need to calculate \( \frac{4}{11} \) of the total amount (Rs. 1100):
\[ \text{C's share} = \frac{4}{11} \times 1100 \]

5. **Perform the Calculation**:
\[ \text{C's share} = \frac{4 \times 1100}{11} = \frac{4400}{11} = 400 \]

6. **Conclusion**:
Therefore, C's share should be Rs. 400.

### Final Answer:
C's share is Rs. 400.

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