Question : A, B, and C can work together for Rs. 550. A and B together are to do $\frac{7}{11}$ of the work. The share of C should be:
Option 1: Rs. 200
Option 2: Rs. 300
Option 3: Rs. 400
Option 4: Rs. 450
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Correct Answer: Rs. 200
Solution :
Given: A, B, and C can work together for Rs. 550. A and B together are to do $\frac{7}{11}$ of the work.
C's total work was $(1 - \frac{7}{11})=\frac{11-7}{11}=\frac{4}{11}$
The ratio of (A + B) : C work $=\frac{7}{11}:\frac{4}{11}=7:4$
So, C share $=\frac{4}{11}\times550= \text{Rs.} \ 200$
Hence, the correct answer is Rs. 200.
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