Cost and Management AccountingQuestion 5457 of 251
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Question 2 (a) Kidz Company manufactures and sells two models of baby toys namely, Max and Pro. During the Financial Year 2024-25, 1,500 units of Max and 3,600 units of Pro were manufactured. However, only 60% of Max and 80% of Pro were sold during the year. Labour cost per unit of Max is two times that of Pro. There was no opening stock of finished goods or work-in progress. The cost particulars of the two models of Baby Toys are given below: Particulars Max (`) Pro (`) Total (`) Material Cost 42,000 63,000 1,05,000 Labour Cost - - 1,21,000 Further, the cost controller of the factory informed that: • Works overhead is 50% of labour cost • Office overhead is recovered at 20% of works cost. • Selling and distribution overhead is ` 20 and ` 30 per unit sold for Model Pro and Model Max respectively. Required: (i) Prepare a cost sheet for the financial year 2024-25, showing the various elements of cost for each model of Baby Toys (Prime cost, work cost, cost of production, cost of goods sold and cost of sales). (ii) Calculate the per unit selling price of each model of Baby Toys if profit is charged at 20 percent on sales. (7 Marks) (b) A plastic manufacturing company is operating with an employment of 128 skilled workers. The product is in great demand. The company desires to increase production to meet market demand but is short of skilled workers. The company finds extremely difficult to find new skilled workers to fulfil its demands. The company is considering the introduction of an incentive scheme – either Halsey scheme (with 50% bonus) or Rawan scheme of wage payment for increasing the labour productivity to cope up the increasing demand. The company believes that if the proposed incentive scheme could bring about an average 15% increase over the present earnings of the workers, it could act as sufficient incentive for them to produce more with increased efficiency. The following data is worth consideration, in measuring the increase in productivity for the month of April 2025. Hourly rate of wages (guaranteed) ` 30 Maximum time allowed to produce one unit by one worker 2.5 hours Number of working days in the month 25 Number of workers hours per day of each worker 8 Actual production during the month (units) 12,500 Required: (i) Calculate the effective rate of earnings under the Halsey scheme and the Rowan scheme. (ii) Calculate the increased labour efficiency on introduction of the incentive schemes. (iii) Calculate the savings to the plastic company in terms of direct labour cost per unit under both the schemes. (iv) Advise the company about the selection of the scheme to fulfil their assurance. (7 Marks)

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Detailed Solution & Explanation

### (a) Cost Sheet of Kidz Company for FY 2024-25 | Particulars | Max (₹) | Pro (₹) | Total (₹) | | :--- | :---: | :---: | :---: | | **Direct Materials** | 42,000 | 63,000 | 1,05,000 | | **Direct Wages** | 55,000 | 66,000 | 1,21,000 | | **Prime Cost** | **97,000** | **1,29,000** | **2,26,000** | | **Factory Overheads (50% of labour cost)** | 27,500 | 33,000 | 60,500 | | **Factory / Works Cost** | **1,24,500** | **1,62,000** | **2,86,500** | | **Administration Overheads (20% of works cost)** | 24,900 | 32,400 | 57,300 | | **Cost of Production** | **1,49,400** | **1,94,400** | **3,43,800** | | **Less: Closing stock** (Max: 600 units, Pro: 720 units) | (59,760) | (38,880) | (98,640) | | **Cost of Goods Sold (COGS)** | **89,640** | **1,55,520** | **2,45,160** | | **Selling and Distribution Overheads** | 27,000 | 57,600 | 84,600 | | **Cost of Sales / Total Cost** | **1,16,640** | **2,13,120** | **3,29,760** | | **Profit (20% on sales / 25% of cost)** | 29,160 | 53,280 | 82,440 | | **Sales Value** | **1,45,800** | **2,66,400** | **4,12,200** | | **Selling Price per unit** | **162.00** | **92.50** | | **Working Notes for Cost Sheet:** 1. **Direct labour cost:** Let labor cost of Pro = M\displaystyle M per unit, Max = 2M\displaystyle 2M per unit. Total Wages=(3,600×M)+(1,500×2M)=1,21,000    6,600M=1,21,000    M=18.333 per unit\text{Total Wages} = (3,600 \times M) + (1,500 \times 2M) = 1,21,000 \implies 6,600 M = 1,21,000 \implies M = ₹18.333 \text{ per unit} - Pro labour cost per unit = ₹18.333 (Total for 3,600 units = ₹66,000) - Max labour cost per unit = ₹36.667 (Total for 1,500 units = ₹55,000) 2. **Closing stock valuation:** - Max units produced = 1,500, sold = 900 (60%), closing stock = 600 units. Valuation of Max Closing Stock=1,49,4001,500 units×600 units=59,760\text{Valuation of Max Closing Stock} = \frac{₹1,49,400}{1,500 \text{ units}} \times 600 \text{ units} = ₹59,760 - Pro units produced = 3,600, sold = 2,880 (80%), closing stock = 720 units. Valuation of Pro Closing Stock=1,94,4003,600 units×720 units=38,880\text{Valuation of Pro Closing Stock} = \frac{₹1,94,400}{3,600 \text{ units}} \times 720 \text{ units} = ₹38,880 ### (b) Labour Incentive Schemes Comparison (128 Workers) **1. Working Notes:** - Actual hours worked = 25 days×8 hours/day×128 workers=25,600 hours\displaystyle 25 \text{ days} \times 8 \text{ hours/day} \times 128 \text{ workers} = 25,600 \text{ hours} - Total basic time wages = 25,600 hours×30/hour=7,68,000\displaystyle 25,600 \text{ hours} \times ₹30/\text{hour} = ₹7,68,000 - Standard time allowed = 12,500 pieces×2.5 hours/piece=31,250 hours\displaystyle 12,500 \text{ pieces} \times 2.5 \text{ hours/piece} = 31,250 \text{ hours} - Time saved = 31,25025,600=5,650 hours\displaystyle 31,250 - 25,600 = 5,650 \text{ hours} **2. Halsey Scheme:** Halsey Bonus=50%×Time Saved×Hourly Rate=0.50×5,650×30=84,750\text{Halsey Bonus} = 50\% \times \text{Time Saved} \times \text{Hourly Rate} = 0.50 \times 5,650 \times ₹30 = ₹84,750 Total Wages (Halsey)=7,68,000+84,750=8,52,750\text{Total Wages (Halsey)} = 7,68,000 + 84,750 = ₹8,52,750 Effective Hourly Rate (Halsey)=8,52,75025,600=33.310\text{Effective Hourly Rate (Halsey)} = \frac{₹8,52,750}{25,600} = ₹33.310 **3. Rowan Scheme:** Rowan Bonus=Time TakenStandard Time×Time Saved×Hourly Rate=25,60031,250×5,650×30=1,38,854.4\text{Rowan Bonus} = \frac{\text{Time Taken}}{\text{Standard Time}} \times \text{Time Saved} \times \text{Hourly Rate} = \frac{25,600}{31,250} \times 5,650 \times ₹30 = ₹1,38,854.4 Total Wages (Rowan)=7,68,000+1,38,854.4=9,06,854.4\text{Total Wages (Rowan)} = 7,68,000 + 1,38,854.4 = ₹9,06,854.4 Effective Hourly Rate (Rowan)=9,06,854.425,600=35.424\text{Effective Hourly Rate (Rowan)} = \frac{₹9,06,854.4}{25,600} = ₹35.424 **4. Labour Efficiency:** Labour Efficiency=Standard HoursActual Hours×100=31,25025,600×100=122.07%\text{Labour Efficiency} = \frac{\text{Standard Hours}}{\text{Actual Hours}} \times 100 = \frac{31,250}{25,600} \times 100 = 122.07\% Labour efficiency has increased by 22.07%. **5. Saving in Direct Employee Cost per piece:** - Under Time Wage: 2.5 hours×30=75.00\displaystyle 2.5 \text{ hours} \times ₹30 = ₹75.00 per piece - Under Halsey: 8,52,75012,500 units=68.22\displaystyle \frac{₹8,52,750}{12,500 \text{ units}} = ₹68.22 per piece (Saving = 7568.22=6.78\displaystyle ₹75 - ₹68.22 = ₹6.78 per piece) - Under Rowan: 9,06,854.412,500 units=72.548\displaystyle \frac{₹9,06,854.4}{12,500 \text{ units}} = ₹72.548 per piece (Saving = 7572.548=2.452\displaystyle ₹75 - ₹72.548 = ₹2.452 per piece) **6. Recommendation:** Since the company has assured a 15% increase over present earnings (i.e., 7,68,000×1.15=8,83,200\displaystyle ₹7,68,000 \times 1.15 = ₹8,83,200), and the total wages under Halsey and Rowan are ₹8,52,750 and ₹9,06,854.4 respectively, the company is advised to select the **Rowan Scheme** to satisfy this constraint.

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