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      Question

      A group of workers, all equally efficient, were assigned to

      complete a job in 16 days. However, 10 workers left the job at the end of each day. Despite this, the job was completed by the end of the 24th day. How many workers were there initially?
      A 325 Correct Answer Incorrect Answer
      B 345 Correct Answer Incorrect Answer
      C 365 Correct Answer Incorrect Answer
      D 355 Correct Answer Incorrect Answer

      Solution

      Let total number of workers originally be ‘n’ and efficiency of each worker is 1 unit/day

      So, total work = 16n units

      So, 16n = n + (n – 10) + (n – 20) + ……. till 24 days

      16n = 24/2 × [2n + (24 – 1) × (-10)]

      16n = 12 × (2n – 230)

      16n – 24n = -(12 × 230)

      So, n = 345

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