Question : A contractor has the target of completing a work in 40 days. He employed 20 persons who completed $\frac{1}{4}$th of the work in 10 days and left. The number of persons he has to employ to finish the remaining part as per the target is:
Option 1: 10
Option 2: 20
Option 3: 40
Option 4: 30
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Correct Answer: 20
Solution : Given: 20 persons completed $\frac{1}{4}$th of the work in 10 days and left. Now the contractor has 30 more days to complete the job. We know, $\frac{M_{1}\times D_{1}}{W_{1}}=\frac{M_{2}\times D_{2}}{W_{2}}$ Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done Let $n$ number of men should be added. So, $\frac{20 \times 10}{\frac{1}{4}} = \frac{n \times 30}{\frac{3}{4}}$ $⇒20 \times 10 = n \times 10$ $\therefore n = 20$ Hence, the correct answer is 20.
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