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A man's basic pay for a 40 hour week is Rs. 20 overtime is paid for at 25 % above the basic rate, in a certain week he worked overtime and his total wage was Rs. 25. He therefore worked for a total of:________?

Correct answer: C. 48 hours

  • A. 45 hours
  • B. 47 hours
  • C. 48 hours
  • D. 50 hours

Explanation

The basic hourly rate is Rs. 20 / 40 hours = Rs. 0.50 per hour, so the overtime rate is Rs. 0.50 x 1.25 = Rs. 0.625 per hour. The overtime earning is Rs. 25 - Rs. 20 = Rs. 5, requiring Rs. 5 / Rs. 0.625 = 8 overtime hours, hence 40 + 8 = 48 hours. Students often choose option a by treating the extra Rs. 5 as payment for only 5 hours at the basic rate and ignoring the 25% overtime premium.

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About Time and Work

Problems measure work through rates, treating each person's or machine's contribution as work completed per unit time. Questions cover combined work, efficiency, wages, alternate working schedules, pipes and cisterns, and men-days relationships, with care needed to distinguish time taken by one worker from the time required when workers act together.

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