Process Costing – Normal and Abnormal Losses, Equivalent Production, Inter-process Profit | CMA Inter Syllabus
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Process costing is applied when output consists of a continuous stream of identical units. It is a costing method used where it is not possible to identify separate units of production, or jobs, usually because of the continuous nature of the production processes involved.
Process costing is used where there is a continuous flow of identical units and it is common to identify it with continuous production such as the following:
The features of process costing which make it different from other methods of costing such as job or batch costing are as follows:
A process account has two sides, and on each side there are two columns – one for quantities (of raw materials, work in progress and finished goods) and one for costs.
The objective of process costing is to work out the cost of each process, transfer the same to the subsequent process and finally ascertain the total cost of production. Therefore, it is necessary to charge various costs to each process. For this, the factory is divided into distinct processes or operations and an account is kept of each process to which all the costs are debited. The following are the various elements of cost, which are shown in the process accounts.
Materials: Raw materials required for each process is drawn from stores against material requisitions. Proper procedure like preparing and authorizing the requisition, pricing of the issues, return of materials to the stores, transfer of material from one process to another should be followed while issuing the materials. Cost of materials consumed should be computed as per the method employed for pricing of the issues and the cost should be debited to the process account.
Labour: Wages paid to workers and supervisory staff should be charged to the particular process if they can be identified with it. If workers work on two or more processes, proper allocation should be made according to some basis like time spent on each process.
Direct Expenses: If expenses are identifiable with a particular process, they should be charged to that process. For example, cost of electricity, depreciation may be charged directly to a process if they are identifiable with it.
Overheads: By nature, overheads are indirect expenses and hence cannot be identified with a particular process. These expenses can be apportioned on some suitable basis and charged to the process.
While preparing process cost accounts, some important aspects are to be taken into consideration. These aspects are given below:
The units of abnormal loss or gain are calculated as under:
Abnormal loss (or gain) = Total Loss – Normal Loss
The valuation of abnormal loss should be done with the help of the formula below:
Value of Abnormal Loss =Total Cost incurred in the process - Scrap value of Normal loss units / Input units - Normal loss units
The valuation of abnormal gain should be done with the help of the formula below:
Value of Abnormal Gain =Total Cost incurred in the process - Scrap value of Normal loss units / Input units - Normal loss units
Example: Abnormal Losses and Gains
Suppose the input to a process is 1,000 units at a cost of ₹4,500. Normal loss is 10% and there is no opening or closing inventories. Determine the accounting entries for the cost of output and the cost of the loss if actual output was
Solution :
The output of one process is transferred to the subsequent process at cost price. However sometimes, the transfer is made at cost plus certain percentage of profit. This is done when each process is treated as a profit center. In such case, the difference between the debit and credit side of the process account represents profit or loss and is transferred to the Profit and Loss Account. The stocks at the end and at the beginning contain an element of unrealized profits, which have to be written back in this method. If the profit element contained in the closing inventory is more than the profit element in the opening inventory, profit will be overstated and vice versa. Profit is realized only on the goods sold, thus to obtain the actual profit the main task would be to calculate the profit element contained in the inventories. In order to compute the profit element, in closing inventory and to obtain the net realized profit for a period, three columns have to be shown in the ledger for showing the cost, unrealized profit and the transfer price.
Illustration 24
In a manufacturing unit, raw material passes through four processes, I, II, III, and IV and the output of each process is the input for the subsequent process. The losses in the four processes are 5%, 20%, 20% and 16 2/3 % respectively. If the product at the end of the IV process is 40,000 kg, what is the quantity of raw material required at the beginning of Process I and the cost of the same is at ₹5 per kg?
Solution:
Equivalent Production:
This represents the production of a process in terms of completed units. In other words, it means converting the incomplete production units into its equivalent of complete units. In each process an estimate is made of the percentage completion of any work-in-progress. A production schedule and a cost schedule will then be prepared. The work-in-progress is inspected and an estimate is made of the degree of completion, usually on a percentage basis. It is most important that this estimate is as accurate as possible because a mistake at this stage would affects the stock valuation used in the preparation of final accounts.
The formula for equivalent production is:
Equivalent Production = Actual no. of units in process of manufacture × Percentage of work completed
For example, if 20% work has been done on the average of 1,000 units still in process, then 1,000 such units will be equal to 200 completed units. The cost of work-in-progress will be equal to 200 completed units.
Calculation of Equivalent Production
The following steps are adopted to calculate statement of equivalent production:
Illustration 25 :
From the following particulars, prepare the following in the books of X Ltd.
Solution:
Transfer to next process is calculated as shown under
There are mainly three methods of calculating cost per unit, out of which FIFO method and Weighted Average Methods are frequently used in equivalent production.
First In First Out (FIFO)
In this method, the assumption is that the incomplete units from the opening stock are completed first and then the units introduced in the process are completed. The costs added in each process during the current period is prorated to the production necessary to complete the opening work-in-progress, to complete the units added in the process and units in the work-in-progress. The objective of the first in first out method is to value the inventory at the current costs and as such the main problem is to calculate the equivalent production under this method.
Average Method
Process costs are sometimes computed on the basis of average costs. Where degree of completion of opening work-in-progress is not given, average method is used. The average process cost is obtained by adding the cost of opening work-in-progress and the cost of units introduced in the process during the current period and dividing this total cost by total equivalent units obtained by adding the number of units completed and equivalent units of the closing work-in-progress of each element, material, labour and overheads. The main objective of average method is
to even out the fluctuations in prices and hence is used when the prices fluctuate widely during a particular period.
Weighted Average Method
In a manufacturing unit where two or more products are manufactured and the products are quite dissimilar to each other, weighted average method is used. Under this method, weighted average is computed and used in valuation of the incomplete units.
Illustration 26
The following particulars for process II are given:
Particulars | UNITS | Amount (₹) |
Transfer to process II at cost | 4,000 | 9,000 |
Direct wages | 2,000 | |
Direct material | 3,000 | |
Transfer to Finished stock | 3,240 |
Factory overheads in process are absorbed at a rate of 400% of direct material. Allowance for Normal loss is 20% of Units worked. Scrap value is ₹ 5 per unit.
Evaluate the cost of transfer to finished stock. Using the information supplied above, show the amount of gain or loss in the process to be taken to Cost Profit and Loss A/c.
Solution:
Illustration 27
Product X is obtained after it passes through three distinct processes. You are required to prepare Process Account from the following information:
Processes | ||||
Total | I | II | III | |
Amount (₹) | Amount (₹) | Amount (₹) | Amount (₹) | |
Material | 15,084 | 5,200 | 3,960 | 5,924 |
Direct Wages | 18,000 | 4,000 | 6,000 | 8,000 |
Production Overheads | 18,000 | - | - | - |
1,000 units @ ₹ 6 per unit was introduced in Process I. Production overheads to be distributed at 100% on direct wages.
Actual Output | Units | Normal Loss | Value of Scrap (₹ per unit) |
Process I | 950 | 5% | 4 |
Process II | 840 | 10% | 8 |
Process III | 750 | 15% | 10 |
Prepare Process Account for I, II and III, Normal Loss Account, Abnormal Loss Account and Abnormal Gain Account .
Solution:
Illustration 28
A product passes through three Processes – A, B and C. 10,000 units at a cost of ₹ 1.10 were issued to Process A. The other direct expenses were as follows:
Process – A Amount (₹) | Process – B Amount (₹) | Process – C Amount (₹) | |
Sundry materials | 1,500 | 1,500 | 1,500 |
Direct Labour | 4,500 | 8,000 | 6,500 |
Direct Expenses | 1,000 | 1,000 | 1,503 |
The wastage of Process A was sold at ₹ 0.25 per unit and that of Process B at ₹ 0.50 per unit and that of Process C at ₹ 1.00.
The overhead charges were 160% of direct labour. The final product was sold at ₹ 10 per unit fetching a profit of 20% on sales. Find out the percentage of wastage in Process C.
Solution:
Illustration 29
Degree of completion | ||
Opening stock | 1,600 units | Material 70% |
Labour 60% | ||
Overhead 60% | ||
Transfer from Process I | 10,200 units | |
Transfer to next process | 9,200 units | |
Units scrapped | 800 units | |
Normal Loss 10% of Input | 1,800 units | Material 60% |
Closing stock | Labour 40% | |
Overhead 40% |
Prepare a Statement of Equivalent Production.
Solution:
Illustration 30
From the following information compute (i) Equivalent Production (ii) Statement of apportionment of cost, (iii) Prepare Process Account.
Stage of completion | |
Work in progress (opening) | |
200 units @ ₹ 4 per unit | 100% Material |
40% Labour and Overheads | |
Units introduced 1,050 | |
Transfer to next process 1,100 units | |
Closing stock 150 units | 100% Material |
70% Labour and Overheads |
Other information | Amount (₹) |
Material Cost | 1,050 |
Labour | 2,250 |
Production Overhead | 1,125 |
4,425 |
Solution:
Illustration 31
From the following information prepare Process Account.
Opening Stock | Degree of Completion | |
800 units @ ₹ 6 per unit | ₹ 4,800 | Material I – 100% |
Material II – 60% | ||
Labour and Overheads – 40% | ||
Transfer from Process – I | ||
12,000 units costing | ₹ 16,350 | |
Transfer to next Process | 9,700 units | |
Normal Process Loss | 10% | |
Closing stock | 1,800 units |
Degree of completion: For units scrapped: Material - 100%, Labour and Overheads – 50%.
For closing stock: Material I – 100%, Material II - 60%, Labour and Overheads – 50%
Scrap realized ₹ 1.00 per unit.
Other information: Material ₹ 10,500, Labour ₹ 20,760, Overheads ₹ 16,670.
Solution:
Illustration 32
SM Ltd., furnished you the following information relating to Process B for the month of October, 2021.
Prepare:
Solution:
Illustration 33
AB Ltd is engaged in process Engineering Industry. During the month of April, 2022, 2,000 units were introduced in Process X. The normal loss was estimated at 5% of input. At the end of the month 1,400 units had been produced and transferred to Process Y. 460 incomplete units and 140 units after passing through fully the entire process, had to be scrapped. The incomplete units had reached the following stage of completion.
Material | 75% completed |
Labour | 50% completed |
Overheads | 50% completed |
Following are the further information on the Process X
Amount (₹) | |
Cost of the 2,000 units | 58,000 |
Additional Direct Material | 14,400 |
Direct Labour | 33,400 |
Overheads | 16,700 |
Units scrapped realized ₹ 10 each. Prepare Statement of Equivalent Production, Statement of Cost, Statement of Evaluation and the Process X Account.
Solution:
Illustration 34
The product of a manufacturing unit passes through two distinct processes. From the past experience the incidence of wastage is ascertained as under:
Process A 2%
Process B 10%
In each case the percentage of wastage is computed on the number of units entering the process concerned. The sales realisation of wastage in Process A and Process B are ₹ 25 per 100 units and ₹ 50 per 100 units respectively.
The following information is obtained for the month of April, 2022; 40,000 units of crude material were introduced in Process A at a cost of ₹ 16,000.
Particulars | Process A | Process B |
Amount (₹) | Amount (₹) | |
Other Materials | 16,000 | 5,000 |
Direct Labour | 9,000 | 8,000 |
Direct Expenses | 8,200 | 1,500 |
Units | Units | |
Output | 39,000 | 36,500 |
Finished Product Stock: | ||
April 1 | 6,000 | 5,000 |
April 30 | 5,000 | 8,000 |
Value of stock per unit on April 1st | ₹ 1.20 | ₹ 1.60 |
Stocks are valued and transferred to subsequent process at weighted average costs. Prepare respective Process Accounts and Stock Accounts.
Solution:
Illustration 35
The following information is obtained in respect of Process III of the month of August:
Opening Stock | 1,000 units |
Value | Direct Material I - ₹ 390; Direct Material II - ₹ 75; |
Direct Labour - ₹ 112; Production Overhead - ₹ 118 | |
Process II transfer | 6,000 units at ₹ 2,360 |
Process IV transfer | 4,700 units |
Direct Material added in process | ₹ 520 |
Direct Labour employed | ₹ 1,036 |
Production Overheads | ₹ 1,541 |
Units scrapped | 300 units |
Degree of completion | Direct Material - 100% |
Direct Labour – 80% | |
Production Overhead – 60% | |
Closing Stock | 2,000 units |
Degree of completion | Direct Material – I 100% |
Direct Material - II 60% | |
Direct Labour - 50% | |
Production Overhead - 40% |
Normal Loss: 5% of Production; units scrap realized ₹ 0.20 each
Prepare Process Account on Weighted Average Method.
Solution:
1. The type of process loss that should not be allowed to affect the cost of good units is:
Answer : a
The type of process loss that should not affect the cost of inventory value is abnormal loss. Generally, an abnormal loss occurs because of negligence, carelessness, theft, mischief, fraud of employees, or inefficiency.
2. Spoilage that occurs under inefficient operating conditions and is ordinarily controllable is called:
Answer : b
Abnormal spoilage refers to spoilage that occurs under inefficient or abnormal operating conditions, which are typically controllable with better management and maintenance practices. It is not part of the expected or normal production process and is considered avoidable through proper control measures.
3. In which of the following situations an abnormal gain in a process occurs:
Answer : d
An abnormal gain in a process occurs when the actual loss is less than the expected loss. This means that the process or operation has performed better than anticipated, resulting in a positive outcome. An abnormal gain can occur in various contexts, such as manufacturing, project management, or financial analysis, and it is typically seen as a favorable deviation from the expected or budgeted performance. It indicates that resources were used more efficiently or that the process was more effective than initially planned.
4. The value of abnormal loss is equal to:
Answer : d
Abnormal loss refers to the loss of materials beyond the normal expected level. The value of abnormal loss is calculated by subtracting the realizable value of the normal loss (which can often be sold as scrap) and the value of transferred out goods from the total process cost. This calculation takes into account the costs incurred, the expected losses, and the actual output to determine the value of abnormal loss.
5. A process account is debited by abnormal gain, the value is determined as:
Answer : b
When an abnormal gain occurs in a process, it means that more units have been produced or received than expected due to factors like lower scrap or defect rates. In this case, the process account is debited by the value of abnormal gain. The value of the abnormal gain is calculated by subtracting the realizable value of normal loss from the cost of good units. This helps in determining the value of the unexpected gain that occurred beyond the normal loss that was anticipated in the process.
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