A man’s basic pay for a 40 hours’ week is Rs. 200. Overtimes is paid at 25%…

2023

A man’s basic pay for a 40 hours’ week is Rs. 200. Overtimes is paid at 25% above the basic rate. In a certain week, he worked overtime and his total was Rs. 300. He therefore, worked for a total of (in hours):

  1. A.

    52

  2. B.

    56

  3. C.

    58

  4. D.

    62

Attempted by 140 students.

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Correct answer: B

Solution:

  1. Compute the basic hourly rate: Rs.200 ÷ 40 = Rs.5 per hour.

  2. Compute the overtime rate: 25% above Rs.5 → Rs.5 × 1.25 = Rs.6.25 per hour.

  3. Find the overtime pay received: Total pay − basic pay = Rs.300 − Rs.200 = Rs.100.

  4. Overtime hours = Rs.100 ÷ Rs.6.25 = 16 hours.

  5. Total hours worked = 40 + 16 = 56 hours.

  6. Check: 40 × Rs.5 + 16 × Rs.6.25 = Rs.200 + Rs.100 = Rs.300, which matches the given total.

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