A, B, and C contract a work for ₹440. Together A and B are to do 9/11 of the work. The share of C should be:
80
A, B, and C contract a work for ₹440. A and B together complete 9/11 of the work. This means that C completes the remaining portion of the work, which is \(1 - \frac{9}{11} = \frac{2}{11}\).
To find C's share, we calculate the fraction of the total payment that corresponds to C's portion of the work:
\(C's share = \frac{2}{11} \times 440\)
Calculating this:
\(C's share = 2 \times 40 = 80\)
Therefore, C's share of the total payment is ₹80.
The problem revolves around understanding fractions and proportions. The core concept is that the payment is directly proportional to the work done. Since A and B do 9/11 of the work, C must do the remaining 2/11. By calculating the fraction of the total payment representing C's work contribution, we determine C's share. This approach highlights the fundamental principle of proportional distribution in shared work scenarios. It is crucial to correctly calculate the remaining fraction of work completed by C, which is the key to solving the problem. This type of problem involves understanding fractions and calculating proportions. Accurate calculation of the fraction of work done by C is crucial to solving the problem.
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