Cost and Management AccountingQuestion 5454 of 251
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5. Bonus under Rowan Scheme to be paid to 128 workers: Bonus = Time taken Time allowed × Time saved × hourly rate = 25,600 hours 31,250 hours × 5,650 hours × ` 30 = `1,38,854.4 Total wages to be paid to 128 workers are (` 7,68,000 + ` 1,38,854.4) ` 9,06,854.4, if company considers the introduction of Rowan Incentive Scheme to increase the Employee productivity. (i)

Options

ASaving in terms of direct Employee cost per piece under Halsey scheme: (Refer to Working Note 4) Employee cost per piece (under time wage scheme) = 2.5hours × ` 30 = ` 75. Employee cost per piece (under Halsey scheme) = Total wages paid under the scheme Total number of units produced = 8,52,750 ` 12,500 = ` 68.22 Saving per piece: (`75 – `68.22) = `6.78
BSaving in terms of direct Employee cost per piece under Rowan Scheme: (Refer to Working Note 5) Employee cost per piece under Rowan scheme = 9,06,854.4 12,500 ` = `72.548 Saving per piece = ` 75 – ` 72.548 = ` 2.452 (iv) Since the company has assured 15% increase over present earnings i.e. ` 7,68,000 which comes to ` 8,83,200 and total wages under halsey scheme and rowan scheme are `8,52,750 and ` 9,06,854.4 respectively, so the company is advised to select the rowan scheme of wage payment to fulfill its requirement of 15% increase.
C
D
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Correct Answer

Option ASaving in terms of direct Employee cost per piece under Halsey scheme: (Refer to Working Note 4) Employee cost per piece (under time wage scheme) = 2.5hours × ` 30 = ` 75. Employee cost per piece (under Halsey scheme) = Total wages paid under the scheme Total number of units produced = 8,52,750 ` 12,500 = ` 68.22 Saving per piece: (`75 – `68.22) = `6.78

All Options:

  • ASaving in terms of direct Employee cost per piece under Halsey scheme: (Refer to Working Note 4) Employee cost per piece (under time wage scheme) = 2.5hours × ` 30 = ` 75. Employee cost per piece (under Halsey scheme) = Total wages paid under the scheme Total number of units produced = 8,52,750 ` 12,500 = ` 68.22 Saving per piece: (`75 – `68.22) = `6.78
  • BSaving in terms of direct Employee cost per piece under Rowan Scheme: (Refer to Working Note 5) Employee cost per piece under Rowan scheme = 9,06,854.4 12,500 ` = `72.548 Saving per piece = ` 75 – ` 72.548 = ` 2.452 (iv) Since the company has assured 15% increase over present earnings i.e. ` 7,68,000 which comes to ` 8,83,200 and total wages under halsey scheme and rowan scheme are `8,52,750 and ` 9,06,854.4 respectively, so the company is advised to select the rowan scheme of wage payment to fulfill its requirement of 15% increase.
  • C
  • D

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Detailed Solution & Explanation

The standard hours allowed for 12,500 units is:
Standard Hours=12,500×2.5 hours=31,250 hours\text{Standard Hours} = 12,500 \times 2.5 \text{ hours} = 31,250 \text{ hours}
Actual hours taken by 128 workers = 25,600 hours.
Time Saved=31,25025,600=5,650 hours\text{Time Saved} = 31,250 - 25,600 = 5,650 \text{ hours}
Rowan Bonus is calculated as:
Rowan Bonus=Time TakenStandard Time×Time Saved×Hourly Rate\text{Rowan Bonus} = \frac{\text{Time Taken}}{\text{Standard Time}} \times \text{Time Saved} \times \text{Hourly Rate}
Rowan Bonus=25,60031,250×5,650×30=1,38,854.4\text{Rowan Bonus} = \frac{25,600}{31,250} \times 5,650 \times ₹30 = ₹1,38,854.4
Hence, **Option A** is the correct answer.

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