A work could be completed in I 00 days by some workers Due to the absence of 16 workers the work was...........

Quantitative Aptitude (MTS) Time and work

A work could be completed in I 00 days by some workers. Due to the absence of 16 workers, the work was completed in 108

days. Find the original number of works.

This questions was previously asked in

SSC MTS 20th July 2022 Shift-3

204

254

226

216

To solve this problem, let's follow these steps:

- Let the original number of workers be \( N \).

- The work can initially be completed in 100 days, so the total work is \( 100N \) worker-days.

- With 16 workers absent, the remaining workers are \( N - 16 \).

- The work takes 108 days with these workers, so the total work is also \( 108(N - 16) \) worker-days.

- Set the total work equations equal: \( 100N = 108(N - 16) \).

- Solve the equation:

- \( 100N = 108N - 1728 \)

- \( 1728 = 8N \)

- \( N = 216 \)

- Option 1: 204 - Not correct

- Option 2: 254 - Not correct

- Option 3: 226 - Not correct

- Option 4: 216 - Correct

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