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Worked Examples · Example 12

Q.The standard time (time allowed) for a job is 40 hours; the worker completes it in 30 hours. The wage rate is ₹20 per hour. Compute the worker's total earnings and the effective hourly rate under

(a) the Halsey Premium Plan (50% bonus on time saved) and
(b) the Halsey-Weir Plan (30% bonus on time saved).
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Common computations:

  • Time Saved = Time Allowed − Time Taken = 40 − 30 = 10 hours
  • Basic (Time) Wages = Time Taken × Rate = 30 × ₹20 = ₹600

(a) Halsey Premium Plan (bonus = 50% of value of time saved):

  • Bonus = 50% × Time Saved × Rate = 50% × 10 × ₹20 = ₹100
  • Total Earnings = Basic Wages + Bonus = ₹600 + ₹100 = ₹700
  • Effective hourly rate = Total ÷ Time Taken = ₹700 ÷ 30 = ₹23.33 per hour

(b) Halsey-Weir Plan (bonus = 30% of value of time saved):

  • Bonus = 30% × Time Saved × Rate = 30% × 10 × ₹20 = ₹60
  • Total Earnings = ₹600 + ₹60 = ₹660
  • Effective hourly rate = ₹660 ÷ 30 = ₹22.00 per hour
ItemHalsey (50%)Halsey-Weir (30%)
Basic Wages (30 × ₹20)₹600₹600
Bonus (% × 10 × ₹20)₹100₹60

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