Cost and Management AccountingQuestion 5429 of 251
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13. The data pertaining to the worker C in a factory depicts that he is paid at a rate of ` 100 per hour and a week comprises 48 hours for a 6 days’ work. The allowed absence time is 15 minutes per day for maintenance etc. The job card of C indicates, his chargeable time is scattered for 2 different jobs J1-21 hours and J2-24 hours. Any unaccounted time is attributable for power failure. Calculate cost of normal idle time and abnormal idle time.

Options

A` 100 and ` 150
B` 150 and ` 150
C` 150 and ` 100
D` 100 and ` 100
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Correct Answer

Option A` 100 and ` 150

All Options:

  • A` 100 and ` 150
  • B` 150 and ` 150
  • C` 150 and ` 100
  • D` 100 and ` 100

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Detailed Solution & Explanation

The standard time allowed for C is:
Standard Time=12,500 units×2.5 hours/unit=31,250 hours\text{Standard Time} = 12,500 \text{ units} \times 2.5 \text{ hours/unit} = 31,250 \text{ hours}
Actual time taken = 25,600 hours.
Time Saved=31,25025,600=5,650 hours\text{Time Saved} = 31,250 - 25,600 = 5,650 \text{ hours}
Wages under Rowan plan is calculated as:
Total Earnings=(Actual Hours×Hourly Rate)+(Actual HoursStandard Time×Time Saved×Hourly Rate)\text{Total Earnings} = (\text{Actual Hours} \times \text{Hourly Rate}) + \left(\frac{\text{Actual Hours}}{\text{Standard Time}} \times \text{Time Saved} \times \text{Hourly Rate}\right)
Total Earnings=(25,600×30)+(25,60031,250×5,650×30)=7,68,000+1,38,854.4=9,06,854.4\text{Total Earnings} = (25,600 \times 30) + \left(\frac{25,600}{31,250} \times 5,650 \times 30\right) = 7,68,000 + 1,38,854.4 = ₹9,06,854.4
Effective Hourly Earnings Rate=Total EarningsActual Hours=9,06,854.425,600 hours35.42 per hour\text{Effective Hourly Earnings Rate} = \frac{\text{Total Earnings}}{\text{Actual Hours}} = \frac{₹9,06,854.4}{25,600 \text{ hours}} \approx ₹35.42 \text{ per hour}
Hence, **Option A** is the correct answer.

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