Discussion
The daily wages of A and B respectively are ₹ 3.50 and ₹ 2.50. When A finishes a certain work, he gets a total wage of ₹ 63. When B does the same work, he gets a total wage of ₹ 75. If both of them do it together, what is the cost of the work ?
Answer: A
The cost is ₹ 67.50.
A takes \(\frac{63}{3.50} = 18\) days and B takes \(\frac{75}{2.50} = 30\) days to do the work alone. Together they do
\[ \begin{aligned} \frac{1}{18} + \frac{1}{30} &= \frac{5 + 3}{90} = \frac{8}{90} \\ \text{days} &= \frac{90}{8} = 11.25 \end{aligned} \]
Their combined daily wage is ₹ 6, so the cost is \(11.25 \times 6 = 67.50\). Averaging the two totals gives ₹ 69, and the other options do not follow from the times.
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