Cost and Management AccountingQuestion 5481 of 251
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Question 2 (a) MNP Limited have the capacity to produce 84,000 units of a product very month. Its prime cost per unit at various levels of production is as follows: Level Prime Cost per unit (`) 10% 50 20% 48 30% 46 40% 44 50% 42 60% 40 70% 38 80% 36 90% 34 100% 32 Its prime cost consists of raw material consumed, direct wages and direct expenses in the ratio of 3 : 2 : 1. In the month of January 2024, the company worked at 40% capacity and raw material purchased amounting to ` 8,40,000. In the month of February 2024, the company worked at 100% capacity and raw material purchased for ` 16,46,400. It is the policy of the company to maintain opening stock of raw material equal to 1/3 of closing stock of raw material. Factory overheads are recovered at 60% of direct wages cost. Fixed administration expenses (as part of production cost) and fixed selling and distribution expenses are ` 2,01,600 and ` 1,68,000 per month respectively. During the month of January 2024 company sold 33,600 units @ ` 68.8 per unit. The variable distribution cost amounts to ` 1.5 per unit sold. The management of the company chalks out a pl for the month of February 2024 to sell its whole output @ ` 61 per unit by incurring following further expenditure : (i) Company sponsors a television programme on every Sunday at a cost of ` 26,250 per week. There are 4 Sundays in February 2024. (ii) Hi-tea programme every month for its potential customers at a cost of ` 1,05,000. (iii) Special gift item costing ` 105 on sale of a dozen units. (iv) Lucky draws scheme is introduced every month by giving the first prize of ` 1,00,000; second prize of ` 80,000; third prize of ` 40,000 and four consolation prizes of ` 8,000 each. Note: (In the month of February 2024, there is a significant saving in material cost per unit due to entry of new suppliers in the market and saving in per unit cost of Direct wages and Direct expenses due to introduction of new· policy by the management.) Prepare a cost sheet for the month of January 2024 and February 2024 showing prime cost (with different elements of prime cost), factory cost, cost of production, total cost and profit earned. (8 Marks) (b) In a factory there are 50 workers, working 8 hours per day including 30 minutes for lunch break, worked for 160 days during a period of six months ended on 31st December, 2023. During this period total employee's cost was recorded ` 3,90,000. The management of the factory decided the overtime premium rates for the month of January 2024 as under : Sundays and holidays 180% of basic wages rate Before and after normal working hours 160% of basic wages rate COST AND MANAGEMENT ACCOUNTING During the last six months (ended on 31st December, 2023), the following hours were worked: Normal time 56,250 Sundays and holidays 750 Before and after normal working hours 3,000 Total hours· 60,000 During the month of January 2024, the factory worked on a job BX in the following manner. Normal working 2,400 men hours Overtime on Sundays and holidays 200 men hours Overtime before and after normal working 400 men hours Total hours 3,000 You are required to calculate the labour cost chargeable to job BX and overheads in each of the following situations: (i) Where overtime is worked regularly in whole year as a policy on account of shortage of workers. (ii) Where overtime is worked irregularly to meet the requirement of production. (iii) Where overtime is worked at the request of the customer to complete the job in time. (iv) Where overtime is worked on account of flood in the area. (6 Marks)

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Detailed Solution & Explanation

### (a) Cost Sheet for January and February 2024 #### Working Notes: 1. **January 2024 (40% Capacity):** - Units Produced = 84,000×40%=33,600\displaystyle 84,000 \times 40\% = 33,600 units. - Prime cost per unit at 40% capacity = ₹ 44\displaystyle 44. - Total Prime Cost = 33,600×44=₹ 14,78,400\displaystyle 33,600 \times 44 = \text{₹ } 14,78,400. - Direct Material Consumed = 14,78,400×36=₹ 7,39,200\displaystyle 14,78,400 \times \frac{3}{6} = \text{₹ } 7,39,200. - Direct Wages = 14,78,400×26=₹ 4,92,800\displaystyle 14,78,400 \times \frac{2}{6} = \text{₹ } 4,92,800. - Direct Expenses = 14,78,400×16=₹ 2,46,400\displaystyle 14,78,400 \times \frac{1}{6} = \text{₹ } 2,46,400. - Let closing stock of raw materials be x\displaystyle x. Opening stock = 13x\displaystyle \frac{1}{3}x. Opening Stock+PurchasesClosing Stock=Raw Material Consumed\text{Opening Stock} + \text{Purchases} - \text{Closing Stock} = \text{Raw Material Consumed} 13x+8,40,000x=7,39,200    23x=1,00,800    x=1,51,200 (Closing Stock)\frac{1}{3}x + 8,40,000 - x = 7,39,200 \implies \frac{2}{3}x = 1,00,800 \implies x = 1,51,200 \text{ (Closing Stock)} Opening Stock=13×1,51,200=₹ 50,400\text{Opening Stock} = \frac{1}{3} \times 1,51,200 = \text{₹ } 50,400 2. **February 2024 (100% Capacity):** - Units Produced = 84,000\displaystyle 84,000 units. - Prime cost per unit at 100% capacity = ₹ 32\displaystyle 32. - Total Prime Cost = 84,000×32=₹ 26,88,000\displaystyle 84,000 \times 32 = \text{₹ } 26,88,000. - Direct Material Consumed = 26,88,000×36=₹ 13,44,000\displaystyle 26,88,000 \times \frac{3}{6} = \text{₹ } 13,44,000. - Direct Wages = 26,88,000×26=₹ 8,96,000\displaystyle 26,88,000 \times \frac{2}{6} = \text{₹ } 8,96,000. - Direct Expenses = 26,88,000×16=₹ 4,48,000\displaystyle 26,88,000 \times \frac{1}{6} = \text{₹ } 4,48,000. - Opening Stock of Raw Material = Closing Stock of Jan = ₹ 1,51,200\displaystyle 1,51,200. - Let Closing Stock of Raw Material be y\displaystyle y. 1,51,200+16,46,400y=13,44,000    y=₹ 4,53,600 (Closing Stock)1,51,200 + 16,46,400 - y = 13,44,000 \implies y = \text{₹ } 4,53,600 \text{ (Closing Stock)} - **Cost Sheet Statement:** | Particulars | January 2024 (33,600 Units) (₹) | February 2024 (84,000 Units) (₹) | | :--- | :---: | :---: | | Opening Stock of Raw Material | 50,400\displaystyle 50,400 | 1,51,200\displaystyle 1,51,200 | | Add: Purchases of Raw Material | 8,40,000\displaystyle 8,40,000 | 16,46,400\displaystyle 16,46,400 | | Less: Closing Stock of Raw Material | (1,51,200)\displaystyle (1,51,200) | (4,53,600)\displaystyle (4,53,600) | | **Direct Materials Consumed** | **7,39,200\displaystyle 7,39,200** | **13,44,000\displaystyle 13,44,000** | | Direct Wages | 4,92,800\displaystyle 4,92,800 | 8,96,000\displaystyle 8,96,000 | | Direct Expenses | 2,46,400\displaystyle 2,46,400 | 4,48,000\displaystyle 4,48,000 | | **Prime Cost** | **14,78,400\displaystyle 14,78,400** | **26,88,000\displaystyle 26,88,000** | | Factory Overheads (@ 60% of Direct Wages) | 2,95,680\displaystyle 2,95,680 | 5,37,600\displaystyle 5,37,600 | | **Factory / Works Cost** | **17,74,080\displaystyle 17,74,080** | **32,25,600\displaystyle 32,25,600** | | Add: Administration Overheads (Production) | 2,01,600\displaystyle 2,01,600 | 2,01,600\displaystyle 2,01,600 | | **Cost of Production / Goods Sold** | **19,75,680\displaystyle 19,75,680** | **34,27,200\displaystyle 34,27,200** | | Add: Fixed Selling & Distribution Overheads | 1,68,000\displaystyle 1,68,000 | 1,68,000\displaystyle 1,68,000 | | Add: Variable Distribution Overheads (@ ₹ 1.5 per unit) | 50,400\displaystyle 50,400 | 1,26,000\displaystyle 1,26,000 | | Add: Television Sponsorship Cost (4×₹ 26,250\displaystyle 4 \times \text{₹ } 26,250) | - | 1,05,000\displaystyle 1,05,000 | | Add: Hi-tea Program Expenses | - | 1,05,000\displaystyle 1,05,000 | | Add: Special Gift Items (₹ 105×84,00012\displaystyle 105 \times \frac{84,000}{12}) | - | 7,35,000\displaystyle 7,35,000 | | Add: Lucky Draw Prizes (1st: 1,00,000 + 2nd: 80,000 + 3rd: 40,000 + 4 ×\displaystyle \times 8,000) | - | 2,52,000\displaystyle 2,52,000 | | **Total Cost of Sales** | **21,94,080\displaystyle 21,94,080** | **49,18,200\displaystyle 49,18,200** | | **Profit (Balancing Figure)** | **1,17,600\displaystyle 1,17,600** | **2,05,800\displaystyle 2,05,800** | | **Sales Revenue** | **23,11,680\displaystyle 23,11,680** | **51,24,000\displaystyle 51,24,000** | --- ### (b) Labour Cost and Overtime Apportionment #### Workings: - **Effective Hours in last 6 months:** Total Hours=50 workers×(80.5) hours/day×160 days=60,000 hours\text{Total Hours} = 50 \text{ workers} \times (8 - 0.5) \text{ hours/day} \times 160 \text{ days} = 60,000 \text{ hours} - **Basic Wage Rate:** Basic Wage Rate=₹ 3,90,00060,000 hours=₹ 6.50 per hour\text{Basic Wage Rate} = \frac{\text{₹ } 3,90,000}{60,000 \text{ hours}} = \text{₹ } 6.50 \text{ per hour} - **Overtime Wage Rates:** - Sundays and Holidays: ₹ 6.50×180%=₹ 11.70 per hour\displaystyle \text{₹ } 6.50 \times 180\% = \text{₹ } 11.70 \text{ per hour} - Before and after normal hours: ₹ 6.50×160%=₹ 10.40 per hour\displaystyle \text{₹ } 6.50 \times 160\% = \text{₹ } 10.40 \text{ per hour} - **Average Inflated Wage Rate (including overtime premium):** - Normal wages: 56,250 hrs×₹ 6.50=₹ 3,65,625\displaystyle 56,250 \text{ hrs} \times \text{₹ } 6.50 = \text{₹ } 3,65,625 - Sundays and Holidays OT: 750 hrs×₹ 11.70=₹ 8,775\displaystyle 750 \text{ hrs} \times \text{₹ } 11.70 = \text{₹ } 8,775 - Before and after normal OT: 3,000 hrs×₹ 10.40=₹ 31,200\displaystyle 3,000 \text{ hrs} \times \text{₹ } 10.40 = \text{₹ } 31,200 - Total wages for 60,000 hours: ₹ 4,05,600\displaystyle 4,05,600 - Inflated wage rate: Inflated Rate=₹ 4,05,60060,000 hours=₹ 6.76 per hour\text{Inflated Rate} = \frac{\text{₹ } 4,05,600}{60,000 \text{ hours}} = \text{₹ } 6.76 \text{ per hour} #### Situations: 1. **Where overtime is worked regularly in the whole year as a policy due to worker shortage:** - **Treatment:** The job is charged at the average inflated wage rate. - **Labour Cost Chargeable to Job BX:** 3,000 hours×₹ 6.76=₹ 20,280\displaystyle 3,000 \text{ hours} \times \text{₹ } 6.76 = \text{₹ } 20,280 - **Factory Overheads:** Nil 2. **Where overtime is worked irregularly to meet the requirements of production:** - **Treatment:** Basic wage rate is charged to the job, and the overtime premium is charged to factory overheads. - **Labour Cost Chargeable to Job BX:** 3,000 hours×₹ 6.50=₹ 19,500\displaystyle 3,000 \text{ hours} \times \text{₹ } 6.50 = \text{₹ } 19,500 - **Factory Overheads (Overtime Premium):** - Sundays & Holidays: 200 hrs×(₹ 11.70₹ 6.50)=₹ 1,040\displaystyle 200 \text{ hrs} \times (\text{₹ } 11.70 - \text{₹ } 6.50) = \text{₹ } 1,040 - Before & After hours: 400 hrs×(₹ 10.40₹ 6.50)=₹ 1,560\displaystyle 400 \text{ hrs} \times (\text{₹ } 10.40 - \text{₹ } 6.50) = \text{₹ } 1,560 - **Total Factory Overheads:** ₹ 1,040+₹ 1,560=₹ 2,600\displaystyle \text{₹ } 1,040 + \text{₹ } 1,560 = \text{₹ } 2,600 3. **Where overtime is worked at the request of the customer to complete the job in time:** - **Treatment:** Basic wage rate and overtime premium are both charged directly to the job. - **Labour Cost Chargeable to Job BX:** - Basic Wages: 3,000 hrs×₹ 6.50=₹ 19,500\displaystyle 3,000 \text{ hrs} \times \text{₹ } 6.50 = \text{₹ } 19,500 - Overtime Premium: ₹ 2,600\displaystyle 2,600 - **Total Labour Cost:** ₹ 19,500+₹ 2,600=₹ 22,100\displaystyle \text{₹ } 19,500 + \text{₹ } 2,600 = \text{₹ } 22,100 - **Factory Overheads:** Nil 4. **Where overtime is worked on account of flood in the area:** - **Treatment:** Basic wage rate is charged to the job, and the overtime premium (abnormal loss) is charged to the Costing Profit and Loss Account. - **Labour Cost Chargeable to Job BX:** 3,000 hours×₹ 6.50=₹ 19,500\displaystyle 3,000 \text{ hours} \times \text{₹ } 6.50 = \text{₹ } 19,500 - **Charged to Costing P&L Account:** ₹ 2,600\displaystyle 2,600

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