Question : A certain number of persons can complete a work in 90 days. If there were 10 persons less, it would have taken 10 days more for the work to be completed. Find the total number of persons in the beginning.
Option 1: 90
Option 2: 110
Option 3: 85
Option 4: 100
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Correct Answer: 100
Solution :
Given,
Time taken by a certain number of persons = 90 days
The difference in days if 10 persons less = 10 days
Let the number of persons present initially be $x$.
Now, the Work done is the same
⇒ $x\times90 = (x-10)\times100$
⇒ $90x = 100x - 1000$
⇒ $100x-90x = 1000$
⇒ $x = 100$
Hence, the correct answer is 100.
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