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A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
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- 75
- 92
- 120
- 110
Correct Option: D
Given in the question,
Let k be the men there originally .
Work done by y men can finish = 100 days
If there were 10 men less, it would take more days finish the work in 10 days
i.e. ( k - 10 ) = 110
According to question ,
k × 100 = ( k - 10 ) × 110
⇒ 100k = 110k - 1100 ⇒ 10k = 1100 ⇒ k = 110
Therefore , 110 men were there originally .
