Certain number of persons can complete a work in 100 days. If 10 persons were less, it would have taken 10 days more for the work to be completed. Number of persons in the beginning is
100
90
110
None of these

Question

Certain number of persons can complete a work in 100 days- If 10 persons were less- it would have taken 10 days the work to be completed- Number of persons in the beginning is 10090110None of these

Toppr Admin · Accepted Answer

Let the person in beginning be xThen according to question-x peron do the work in 100 daysx-xD7-100-x-x2212-10-xD7-110-100x-110x-x2212-1100-x27F9-10x-1100-x27F9-x-110

Certain number of persons can complete a work in 100 days. If 10 persons were less, it would have taken 10 days more for the work to be completed. Number of persons in the beginning is 10090110None of these

Let the person in beginning be xThen according to question,x peron do the work in 100 daysx×(100)=(x−10)×(110)100x=110x−1100⟹10x=1100⟹x=110

Certain number of persons can complete a work in 100 days. If 10 persons were less, it would have taken 10 days more for the work to be completed. Number of persons in the beginning is
100
90
110
None of these

Let the person in beginning be $x$
Then according to question,

$x$ peron do the work in $100$ days

$x \times (100) = (x - 10) \times (110)$

$100 x = 110 x - 1100$

$⟹ 10 x = 1100 ⟹ x = 110$