Discussion
25 labours earn Rs. 3100 in 4 days. Find the earnings of 12 labours in 15 days.
Answer: A
The 12 labourers earn Rs. 5580.
Find the wage for one labourer for one day, then scale up.
\[ \begin{aligned} \text{One day's wage} &= \frac{3100}{25 \times 4} = \text{Rs. } 31 \\ \text{Earnings} &= 12 \times 15 \times 31 \\ &= 180 \times 31 = \text{Rs. } 5580 \end{aligned} \]
Check by proportion: the work rises from 100 labourer-days to 180 labourer-days, so the earnings rise in the ratio 180 : 100, and 3100 times 1.8 is 5580. The figures 6580 and 4580 differ from this by exactly a thousand rupees, and 3810 is barely more than the original Rs. 3100 although the labourer-days nearly double.
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