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ExamsIBPS POQuantitative Aptitude

A can complete a work in 8 days, B in 12 days, and C in 6 days. If B and C work for x days and the remaining work is completed by A in (x + 2) days, find the percentage of work completed if A alone works for (x + 4) days.

  1. 95%
  2. 90%
  3. 75%
  4. 100%

Correct answer: 75%

Solution

A, B, and C work at rates of 1/8, 1/12, and 1/6 of the work per day respectively. Solving the total-work equation gives x = 2, so A alone works for 6 days in the last part, completing 6/8 = 3/4 of the work. Therefore, the percentage completed by A alone in (x + 4) days is 75%.

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