Cost and Management Accounting 2082 Board Question Paper

Two key aspects of the importance of cost accounting are:

1. Accurate Cost Determination and Profitable Pricing: It provides detailed unit-cost information essential for setting competitive yet profitable selling prices and submitting tenders.
2. Identification and Elimination of Wastages: By comparing actual costs against pre-determined standards, management can pinpoint material leakages, excessive idle labor, and operational bottlenecks.

A direct cost is an expenditure that can be easily, conveniently, and economically traced and directly attributed to a specific cost object, job, or product unit.

Examples:

• Direct Material: Timber used in manufacturing furniture, leather in shoes.
• Direct Labour: Wages paid to carpenters assembling chairs, weavers in a textile factory.

Two primary motives for holding inventory are:

1. Transaction Motive: To ensure an uninterrupted flow of materials into the production line and to satisfy day-to-day customer sales orders without delivery delays.
2. Precautionary Motive: To protect the business against unexpected supply disruptions, sudden price hikes, transport strikes, or unpredicted surges in market demand.

Two major causes of labour turnover are:

1. Uncompetitive Compensation and Benefits: Workers resigning to seek higher salaries and better incentive packages at competing firms.
2. Unfavorable Working Environment and Poor Supervision: Lack of job security, toxic workplace culture, inadequate safety standards, and absence of promotional opportunities.

Service costing (or operating costing) is a method of cost accounting applied by organizations that render services rather than producing tangible goods (e.g., transport companies, hospitals, hotels, schools, cinema halls). Costs are accumulated over an operating period and divided by composite cost units (such as passenger-kilometers, patient-days, or room-days).

Given:

• $\text{Annual Requirement } (A) = 3,600\text{ units}$
• $\text{Unit Price } (C) = \text{Rs. } 20$
• $\text{Carrying Cost per Unit } (c) = 10\% \text{ of Rs. } 20 = \text{Rs. } 2.00$
• $\text{Ordering Cost per Order } (O) = \text{Rs. } 400$

Step 1: Calculate Economic Order Quantity (EOQ):

$$\text{EOQ} = \sqrt{\frac{2AO}{c}} = \sqrt{\frac{2 \times 3,600 \times 400}{2}} = \sqrt{1,440,000} = \mathbf{1,200\text{ units}}$$

Step 2: Calculate Number of Orders at EOQ:

$$\mathbf{\text{Number of Orders}} = \frac{\text{Annual Requirement } (A)}{\text{EOQ}} = \frac{3,600\text{ units}}{1,200\text{ units}} = \mathbf{3\text{ orders per year}}$$

Step 1: Calculate Variable Cost per unit ($b$):

$$b = \frac{\Delta \text{Total Cost}}{\Delta \text{Output}} = \frac{\text{Rs. } 100,000}{40,000 - 20,000\text{ units}} = \frac{\text{Rs. } 100,000}{20,000\text{ units}} = \mathbf{\text{Rs. } 5.00\text{ per unit}}$$

Step 2: Total Cost for 30,000 units:

$$\text{Total Cost} = \text{Total Fixed Cost} + (\text{Output} \times b)$$

$$\mathbf{\text{Total Cost}} = \text{Rs. } 200,000 + (30,000 \times \text{Rs. } 5) = 200,000 + 150,000 = \mathbf{\text{Rs. } 350,000}$$

Given:

• $\text{Standard Output} = 1,000\text{ units}$
• $\text{Actual Output} = 1,200\text{ units}$
• $\text{Normal Piece Rate} = \text{Rs. } 20\text{ per unit}$

Evaluation under Taylor’s Differential Piece Rate System:

• Since Actual Output ($1,200\text{ units}$) $\ge$ Standard Output ($1,000\text{ units}$), the worker is classified as Efficient.
• Efficient workers receive the Higher Piece Rate, which is $120\%$ of the normal piece rate (under standard TU convention):
  $$\text{Higher Piece Rate} = \text{Rs. } 20 \times 120\% = \text{Rs. } 24\text{ per unit}$$

$$\mathbf{\text{Total Wages}} = 1,200\text{ units} \times \text{Rs. } 24 = \mathbf{\text{Rs. } 28,800}$$

(Note: If the $125\%$ higher piece rate convention is used: $1,200 \times \text{Rs. } 25 = \text{Rs. } 30,000$).

Given:

• $\text{Maximum Consumption} = 1,200\text{ units/day}$, $\text{Minimum Consumption} = 800\text{ units/day}$
• $\text{Maximum Lead Time} = 5\text{ days}$, $\text{Minimum Lead Time} = 3\text{ days}$
• $\text{Maximum Stock Level} = 6,000\text{ units}$

Step 1: Compute Re-order Level (ROL):

$$\text{ROL} = \text{Max Consumption} \times \text{Max Lead Time} = 1,200 \times 5 = 6,000\text{ units}$$

Step 2: Compute Re-order Quantity (ROQ):

$$\text{Maximum Stock Level} = \text{ROL} + \text{ROQ} - (\text{Min Consumption} \times \text{Min Lead Time})$$

$$6,000 = 6,000 + \text{ROQ} - (800 \times 3)$$

$$6,000 = 6,000 + \text{ROQ} - 2,400$$

$$6,000 = 3,600 + \text{ROQ}$$

$$\mathbf{\text{ROQ}} = 6,000 - 3,600 = \mathbf{2,400\text{ units}}$$

Analysis of Costs: In labour turnover accounting, costs are segregated into:

1. Preventive Costs: Costs incurred to keep workers satisfied and prevent turnover.
   • Cost of Welfare Services $= \text{Rs. } 22,000$
   • Pension Scheme $= \text{Rs. } 15,000$
   • Total Preventive Cost $= 22,000 + 15,000 = \mathbf{\text{Rs. } 37,000}$
2. Replacement Costs: Selection (Rs. 25k) + Training (Rs. 20k) + Inefficiency loss (Rs. 20k).

Calculation of Preventive Cost per Employee: Preventive costs benefit the entire average workforce:

$$\mathbf{\text{Preventive Cost per Employee}} = \frac{\text{Total Preventive Cost}}{\text{Average Number of Workers}} = \frac{\text{Rs. } 37,000}{1,000\text{ workers}} = \mathbf{\text{Rs. } 37.00\text{ per employee}}$$

(a) Job Order Costing: Meaning and Importance

Meaning: Job order costing is a system of specific order costing applied where production is carried out against tailored client orders. Each job is identifiable from start to finish, receives a separate job order ticket, and accumulates direct costs and absorbed overheads on an individual Job Cost Sheet.

Importance:

1. Provides Exact Price Quotations: Furnishes historical cost baselines to submit competitive and profitable tenders.
2. Profitability Tracking by Job: Allows management to evaluate the profitability of each customer and contract.
3. Controls Spoilage and Defective Work: Identifies which specific job or worker caused material scrap and wastage.
4. Facilitates Cost-Plus Contracts: Serves as the legally required verifiable documentation for cost-plus pricing.

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(b) Overhead Cost per Unit under Activity-Based Costing (ABC)

Step 1: Calculate Total Activity Consumption Driver Quantities

• Machine Hours:
  • Product X: $2,000 \times 4 = 8,000\text{ hrs}$
  • Product Y: $4,000 \times 3 = 12,000\text{ hrs}$
  • Total Machine Hours $= 8,000 + 12,000 = 20,000\text{ hrs}$
• Set-ups:
  • Product X: $40$, Product Y: $60$
  • Total Set-ups $= 40 + 60 = 100\text{ set-ups}$
• Purchase Orders:
  • Product X: $20$, Product Y: $30$
  • Total Orders $= 20 + 30 = 50\text{ orders}$

Step 2: Calculate Cost Driver Rates

1. Volume-Related Rate $= \frac{\text{Rs. } 200,000}{20,000\text{ MH}} = \mathbf{\text{Rs. } 10.00\text{ per MH}}$
2. Set-up Rate $= \frac{\text{Rs. } 200,000}{100\text{ set-ups}} = \mathbf{\text{Rs. } 2,000.00\text{ per set-up}}$
3. Purchase-Related Rate $= \frac{\text{Rs. } 100,000}{50\text{ orders}} = \mathbf{\text{Rs. } 2,000.00\text{ per order}}$

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Step 3: Allocate Overheads and Compute Cost per Unit

(a) Characteristics of Joint Product and By-Product

Characteristics of Joint Products:

1. Simultaneous Origin from Common Input: Produced simultaneously from the same raw material through a common process up to a split-off point.
2. Comparable High Economic Value: Possess significant, mutually comparable commercial sales value.
3. Inseparability: One joint product cannot be produced without inevitably producing the other(s).

Characteristics of By-Products:

1. Incidental Origin: Emerges involuntarily as a minor byproduct of manufacturing the main product.
2. Relatively Minor Commercial Value: Sales value is small or negligible compared to the primary output.
3. Incidental Accounting: Often accounted for by deducting its net realizable value from the main process cost.

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(b) Calculation of Material Variances

Step 1: Standard Input Requirements

• Standard loss $= 10\% \implies \text{Standard Yield} = 90\%$.

• For Actual Output of $280\text{ kg}$:

  $$\text{Total Standard Input required} = \frac{280\text{ kg}}{0.90} = 311.11\text{ kg}$$

• Standard Quantities (SQ) in standard ratio (60% : 40%):

  • $\mathbf{SQ_A} = 60\% \times 311.11 = 186.67\text{ kg}$ @ Rs. 8
  • $\mathbf{SQ_B} = 40\% \times 311.11 = 124.44\text{ kg}$ @ Rs. 5

• Actual Inputs (at standard input ratio base of 300 kg total):

  • $AQ_A = 180\text{ kg}$ @ Rs. 8.50; $AQ_B = 120\text{ kg}$ @ Rs. 4.80 (Total $AQ = 300\text{ kg}$).
  • $\text{Actual Output} = 280\text{ kg}$ (Loss $= 20\text{ kg}$).

Step 2: Variance Calculations

1. Material Cost Variance (MCV):

   • Standard Cost of Output $= (186.67 \times 8) + (124.44 \times 5) = 1,493.36 + 622.20 = \text{Rs. } 2,115.56$.
   • Actual Cost $= (180 \times 8.50) + (120 \times 4.80) = 1,530 + 576 = \text{Rs. } 2,106.00$.
   • $\mathbf{\text{MCV}} = 2,115.56 - 2,106.00 = \mathbf{\text{Rs. } 9.56\text{ (F)}}$.

2. Material Price Variance (MPV) $= AQ \times (SP - AP)$:

   • A: $180 \times (8 - 8.50) = \mathbf{\text{Rs. } 90\text{ (A)}}$
   • B: $120 \times (5 - 4.80) = \mathbf{\text{Rs. } 24\text{ (F)}}$
   • $\mathbf{\text{Total MPV}} = -90 + 24 = \mathbf{\text{Rs. } 66\text{ (A)}}$.

3. Material Usage Variance (MUV) $= SP \times (SQ - AQ)$:

   • A: $8 \times (186.67 - 180) = 8 \times (+6.67) = \mathbf{\text{Rs. } 53.36\text{ (F)}}$
   • B: $5 \times (124.44 - 120) = 5 \times (+4.44) = \mathbf{\text{Rs. } 22.20\text{ (F)}}$
   • $\mathbf{\text{Total MUV}} = 53.36 + 22.20 = \mathbf{\text{Rs. } 75.56\text{ (F)}}$.

Check: $\text{MCV} = \text{MPV} + \text{MUV} = -66\text{ (A)} + 75.56\text{ (F)} = +9.56\text{ (F)}$.

Solution: Absorption & Variable Costing

Working Notes:

1. Opening Stock Units:

   $$\text{Opening Stock} = \text{Sales} + \text{Closing Stock} - \text{Production}$$
   $$\mathbf{\text{Opening Stock}} = 26,000 + 4,000 - 25,000 = \mathbf{5,000\text{ units}}$$

2. Unit Costs:

   • Variable Mfg Cost per unit $= 6 + 4 + 5 = \mathbf{\text{Rs. } 15.00}$
   • Fixed Mfg OH per unit (Standard) $= \mathbf{\text{Rs. } 5.00}$
   • Total Unit Mfg Cost (Absorption) $= 15 + 5 = \mathbf{\text{Rs. } 20.00}$
   • Normal Capacity $= 30,000\text{ units} \implies \text{Budgeted Fixed Mfg OH} = 30,000 \times 5 = \text{Rs. } 150,000$.

3. Under-absorption of Fixed Manufacturing Overhead:

   • Absorbed on actual production $= 25,000 \times \text{Rs. } 5 = \text{Rs. } 125,000$
   • Actual Fixed Mfg OH $= \text{Rs. } 150,000$
   • $\mathbf{\text{Under-absorbed Fixed Overhead}} = 150,000 - 125,000 = \mathbf{\text{Rs. } 25,000\text{ (Unfavorable)}}$

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(a) Income Statement under Absorption Costing

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(b) Reconciled Profit under Variable Costing

Reconciliation Formula:

$$\text{Profit (Variable Costing)} = \text{Profit (Absorption Costing)} + \text{Fixed OH in Opening Stock} - \text{Fixed OH in Closing Stock}$$

$$\text{Fixed OH in Opening Stock} = 5,000 \times \text{Rs. } 5 = \text{Rs. } 25,000$$

$$\text{Fixed OH in Closing Stock} = 4,000 \times \text{Rs. } 5 = \text{Rs. } 20,000$$

$$\mathbf{\text{Profit under Variable Costing}} = \text{Rs. } 111,000 + 25,000 - 20,000 = \mathbf{\text{Rs. } 116,000}$$

Cost-Volume-Profit Computations

Working Notes:

• $\text{Profit Year I} = 450,000 - 400,000 = \text{Rs. } 50,000$
• $\text{Profit Year II} = 700,000 - 600,000 = \text{Rs. } 100,000$
• $\Delta \text{Sales} = 700,000 - 450,000 = \text{Rs. } 250,000$
• $\Delta \text{Profit} = 100,000 - 50,000 = \text{Rs. } 50,000$

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a. Profit-Volume (P/V) Ratio

$$\mathbf{\text{P/V Ratio}} = \frac{\Delta \text{Profit}}{\Delta \text{Sales}} \times 100 = \frac{\text{Rs. } 50,000}{\text{Rs. } 250,000} \times 100 = \mathbf{20\%}$$

b. Total Fixed Cost

$$\mathbf{\text{Fixed Cost}} = (\text{Sales} \times \text{P/V}) - \text{Profit} = (450,000 \times 20\%) - 50,000 = 90,000 - 50,000 = \mathbf{\text{Rs. } 40,000}$$

c. Break-Even Point in Rs.

$$\mathbf{\text{BEP (Rs.)}} = \frac{\text{Fixed Cost}}{\text{P/V Ratio}} = \frac{\text{Rs. } 40,000}{0.20} = \mathbf{\text{Rs. } 200,000}$$

d. Break-Even Point in Units (SPPU = Rs. 10)

$$\mathbf{\text{BEP (Units)}} = \frac{\text{BEP (Rs.)}}{\text{SPPU}} = \frac{\text{Rs. } 200,000}{\text{Rs. } 10} = \mathbf{20,000\text{ units}}$$

e. Sales for After-Tax Profit of Rs. 75,000 (Tax = 25%)

$$\text{Required Sales} = \frac{\text{Fixed Cost} + \frac{\text{DPAT}}{1 - t}}{\text{P/V}} = \frac{40,000 + \frac{75,000}{1 - 0.25}}{0.20} = \frac{40,000 + 100,000}{0.20} = \mathbf{\text{Rs. } 700,000}$$

f. Profit when Sales are Rs. 80,000

$$\mathbf{\text{Profit}} = (\text{Sales} \times \text{P/V}) - \text{Fixed Cost} = (80,000 \times 0.20) - 40,000 = 16,000 - 40,000 = \mathbf{-\text{Rs. } 24,000\text{ (Loss)}}$$

g. Margin of Safety if Profit is Rs. 125,000

$$\mathbf{\text{Margin of Safety (Rs.)}} = \frac{\text{Profit}}{\text{P/V}} = \frac{\text{Rs. } 125,000}{0.20} = \mathbf{\text{Rs. } 625,000}$$

Role of Budgeting in Organizational Development

The assertion that budgeting is an indispensable instrument for organizational development underscores how financial discipline transforms executive vision into sustainable corporate growth.

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Key Ways Budgeting Drives Organizational Development

1. Strategic Orientation and Vision Alignment: Forces senior executives to look beyond immediate operational crises and map 1-to-5 year strategic growth objectives into resource allocations (capital expenditure budgets, R&D budgets).
2. Promotes Optimal Capital Allocation: By rigorously analyzing competing budget proposals, capital is prioritized toward high-ROI divisions and modern technologies rather than being wasted on redundant historical operations.
3. Institutionalizes Inter-Departmental Coordination: Harmonizes disparate corporate divisions—aligning sales targets with production schedules, warehouse storage, and procurement cash flows, breaking down harmful corporate silos.
4. Fosters Responsibility Accounting and Decentralization: Assigns managers clear financial parameters for their respective Cost Centers and Profit Centers, fostering managerial accountability and leadership development.
5. Enables Risk Mitigation and Cash Liquidity Management: Identifies seasonal cash deficits months in advance, giving finance teams ample time to negotiate commercial bank credit lines on favorable terms.

Management Accounting: Definition and Significance in Modern Business

Definition

Management accounting is the process of identification, measurement, accumulation, analysis, preparation, interpretation, and communication of financial and operational information used by internal management to plan, evaluate, and control an enterprise.

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Importance in Modern Business

1. Facilitates Proactive Planning: Equips leaders with dynamic forecasting models, flexible budgets, and sales projections to anticipate market volatility.
2. Empowers Relevant-Cost Decision Making: Furnishes marginal and incremental cost analyses vital for strategic choices: make-or-buy, entering new export markets, discontinuing product lines, or special pricing during recessions.
3. Controls Operational Wastage via Management by Exception: Highlights significant variances through standard costing, allowing executives to focus on adverse anomalies without getting bogged down in routine operations.
4. Aligns Operations with Strategic Goals: Utilizes multidimensional frameworks like the Balanced Scorecard to track customer satisfaction, internal process quality, and employee learning alongside financial profits.

Comprehensive Contract Accounting

Working Notes:

1. Work Certified & Work Uncertified:

   • $\text{Cash Received} = \text{Rs. } 540,000 = 90\% \text{ of Work Certified}$.
   • $\mathbf{\text{Work Certified}} = \frac{\text{Rs. } 540,000}{0.90} = \mathbf{\text{Rs. } 600,000}$.
   • $\mathbf{\text{Work Uncertified}} = 5\% \text{ of } 600,000 = \mathbf{\text{Rs. } 30,000}$.

2. Plant Valuation at Site on 31st Chaitra:

   • Plant installed $= \text{Rs. } 200,000$
   • Depreciation @ $15\% \text{ p.a.} = 200,000 \times 15\% = \text{Rs. } 30,000$
   • $\mathbf{\text{Plant at Site c/d}} = 200,000 - 30,000 = \mathbf{\text{Rs. } 170,000}$

3. Material Sold:

   • Cost $= \text{Rs. } 15,000$, Profit $= \text{Rs. } 1,000 \implies \text{Selling Price} = \mathbf{\text{Rs. } 16,000}$.

4. Transfer to Profit & Loss Account:

   • $\text{Work Certified \%} = \frac{600,000}{900,000} \times 100 = 66.67\%$.
   • Since $50\% \le 66.67\% < 90\%$:
     $$\text{Profit to P\&L} = \text{Notional Profit} \times \frac{2}{3} \times \frac{\text{Cash Received}}{\text{Work Certified}}$$

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(a) Contract Account (Year ended 31st Chaitra 2081)

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(b) Contractee’s Account

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(c) Work-in-Progress Account

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(d) Partial Balance Sheet (as on 31st Chaitra 2081)

Process Costing Accounts

Working Computations:

1. Process A:

   • Input $= 1,000\text{ kg}$ (Rs. 60,000). Normal Loss $= 5\% = 50\text{ kg}$ @ Rs. $40 = \text{Rs. } 2,000$.
   • Normal Output $= 1,000 - 50 = 950\text{ kg}$. Actual Output $= 950\text{ kg}$ (No Abnormal Loss/Gain).
   • Production Overhead $= 100\% \text{ of Labour (Rs. 40,000)} = \text{Rs. } 40,000$.
   • Total Process Cost $= 60,000 + 52,000 + 40,000 + 40,000 = \text{Rs. } 192,000$.
   • Cost per kg $= \frac{192,000 - 2,000}{950} = \frac{190,000}{950} = \mathbf{\text{Rs. } 200.00\text{ / kg}}$.
   • Transferred to Process B $= 950 \times 200 = \mathbf{\text{Rs. } 190,000}$.

2. Process B:

   • Input from A $= 950\text{ kg}$ (Rs. 190,000).
   • Normal Loss $= 10\% \text{ of } 950 = 95\text{ kg}$ @ Rs. $80 = \text{Rs. } 7,600$.
   • Normal Output $= 950 - 95 = 855\text{ kg}$.
   • Actual Output $= 840\text{ kg} \implies \mathbf{\text{Abnormal Loss}} = 855 - 840 = \mathbf{15\text{ kg}}$.
   • Production Overhead $= 100\% \text{ of Labour (Rs. 60,000)} = \text{Rs. } 60,000$.
   • Total Cost $= 190,000 + 39,600 + 60,000 + 60,000 = \text{Rs. } 349,600$.
   • Cost per kg $= \frac{349,600 - 7,600}{855} = \frac{342,000}{855} = \mathbf{\text{Rs. } 400.00\text{ / kg}}$.
   • Transferred to Process C $= 840 \times 400 = \mathbf{\text{Rs. } 336,000}$.
   • Abnormal Loss Value $= 15 \times 400 = \mathbf{\text{Rs. } 6,000}$.

3. Process C:

   • Input from B $= 840\text{ kg}$ (Rs. 336,000).
   • Normal Loss $= 15\% \text{ of } 840 = 126\text{ kg}$ @ Rs. $100 = \text{Rs. } 12,600$.
   • Normal Output $= 840 - 126 = 714\text{ kg}$.
   • Actual Output $= 750\text{ kg} \implies \mathbf{\text{Abnormal Gain}} = 750 - 714 = \mathbf{36\text{ kg}}$.
   • Production Overhead $= 100\% \text{ of Labour (Rs. 80,000)} = \text{Rs. } 80,000$.
   • Total Cost before gain $= 336,000 + 59,240 + 80,000 + 80,000 = \text{Rs. } 555,240$.
   • Cost per kg $= \frac{555,240 - 12,600}{714} = \frac{542,640}{714} = \mathbf{\text{Rs. } 760.00\text{ / kg}}$.
   • Transferred to Finished Stock $= 750 \times 760 = \mathbf{\text{Rs. } 570,000}$.
   • Abnormal Gain Value $= 36 \times 760 = \mathbf{\text{Rs. } 27,360}$.

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(a) Process Accounts

Process A Account

Process B Account

Process C Account

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(b) Normal Loss Account

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(c) Abnormal Loss Account

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(d) Abnormal Gain Account

Critical Commentary on Cost Reduction and its Distinction from Cost Control

The statement that “Cost reduction is the accomplishment of a permanent and real reduction in per unit cost of goods without compromising the value it is intended to deliver” captures the true essence of modern value engineering.

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1. Critical Commentary: The Value Dimension of Cost Reduction

1. Real and Permanent Savings: Cost reduction does not stem from temporary market windfalls (such as temporary price dips in raw materials) or artificial austerity measures (such as freezing necessary maintenance). It originates from fundamental improvements in product design, material substitution, workflow automation, and process re-engineering.

2. Non-Compromising on Delivered Value: Cheapening a product by using inferior inputs that fail prematurely is not cost reduction; it is value destruction that alienates customers and damages corporate goodwill. Genuine cost reduction maintains or elevates durability, safety, aesthetic appeal, and functionality while eliminating non-value-adding operational waste (Muda).

3. Application of Value Analysis and Target Costing: Through systematic value engineering, multidisciplinary teams evaluate every design feature: “Does this part perform a necessary function? Can a lighter, recyclable material accomplish the identical utility at half the cost?”

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2. Comprehensive Differences between Cost Control and Cost Reduction