Worked Solution
✓ VerifiedNote: The question as presented is missing the product-specific data for Products P and Q (direct material cost per unit, direct labour hours per unit, units produced, and cost driver consumption by each product). The solution below computes all overhead rates fully and presents the cost structure framework. The final product unit costs can be inserted once that data is available.
Part (i): Traditional Absorption Costing
Overhead Absorption Rate (OAR):
Total Overhead = ₹45,000 + ₹1,62,000 + ₹27,000 + ₹36,000 = ₹2,70,000
OAR = Total Overhead / Total Direct Labour Hours = ₹2,70,000 / 72,000 hours = ₹3.75 per DLH
Cost per unit of Product P or Q = Direct Material + Direct Labour (DLH × ₹14.50) + Overhead (DLH × ₹3.75)
Part (ii): Activity Based Costing System
Step 1 — Allocate Technical/Indirect Staff Salary (₹45,000) in ratio 1:2:3 among Maintenance, Inspection, and Quality Control:
- Maintenance: ₹45,000 × 1/6 = ₹7,500
- Inspection: ₹45,000 × 2/6 = ₹15,000
- Quality Control: ₹45,000 × 3/6 = ₹22,500
Step 2 — Compute total Machine-related costs and distribute in ratio 3:1 (Stores : Production Setup):
- Machine Maintenance = Repairs ₹27,000 + Maintenance staff salary ₹7,500 = ₹34,500
- Machine Operation Expenses = ₹1,62,000
- Total Machine Costs = ₹1,96,500
- Stores (3/4): ₹1,96,500 × 3/4 = ₹1,47,375
- Production Setup (1/4): ₹1,96,500 × 1/4 = ₹49,125
Step 3 — Build Activity Cost Pools:
| Activity | Basis | Amount (₹) |
|---|---|---|
| Inspection | Staff salary allocation | 15,000 |
| Quality Control | Staff salary allocation | 22,500 |
| Production Setup | Machine cost allocation | 49,125 |
| Stores | Machine cost allocation (₹1,47,375) + Stores staff wages (₹36,000) | 1,83,375 |
| Total | 2,70,000 |
Step 4 — Compute Activity Cost Driver Rates:
| Activity | Cost Pool (₹) | Cost Driver | Volume | Rate (₹) |
|---|---|---|---|---|
| Inspection (Regulations raised) | 15,000 | Regulations raised | 5,760 | 2.60 per regulation |
| Stores (Regulations raised) | 1,83,375 | Regulations raised | 5,760 | 31.83 per regulation |
| Production Setup | 49,125 | No. of setups | 7,200 | 6.82 per setup |
| Quality Control | 22,500 | No. of quality tests | 720 | 31.25 per test |
Note on cost driver mapping: Inspection and Stores both use 'Regulations raised' as the driver (stores requisitions/inspection reports). If treated as a combined pool: (₹15,000 + ₹1,83,375) / 5,760 = ₹34.44 per regulation.
Step 5 — ABC Unit Cost Structure:
For each product: Unit Cost = Direct Material + Direct Labour (DLH × ₹14.50) + Σ (Cost driver units consumed per unit × Activity rate)
Comparison: Under Traditional Costing, all overhead is recovered uniformly at ₹3.75/DLH regardless of actual activity consumption. Under ABC, overhead is traced to products based on actual consumption of each activity, producing more accurate costs — particularly where products differ in batch size, setup frequency, or quality testing requirements. Products consuming fewer setups or quality tests will show lower overhead under ABC compared to traditional costing.
Write it like this
1The skeleton
- Write the OAR formula first, then substitute — examiners look for '₹2,70,000 / 72,000 DLH = ₹3.75 per DLH' as a standalone line, not buried inside a paragraph, because it anchors Part (i) and shows you know the traditional method cold.
- Show the 1:2:3 split with rupee values explicitly — write 'Maintenance ₹7,500 | Inspection ₹15,000 | Quality Control ₹22,500' as a mini-table; lumping them loses the step marks even if your total is right.
- Aggregate machine costs BEFORE distributing — your examiner wants to see Repairs ₹27,000 + Maintenance allocation ₹7,500 = ₹34,500 as one labelled line, THEN add Machine Operation ₹1,62,000 to get ₹1,96,500; skipping this step loses the logic trail.
- Present the Activity Cost Pool table with a 'Total = ₹2,70,000' cross-check row — this proves your allocation is exhaustive and examiners reward the reconciliation even if individual pool figures are off by a small calculation error.
- Compute each driver rate as a separate row — write 'Cost Pool ÷ Driver Volume = Rate' for all four activities in columnar format; examiners award one mark per correct rate, so format makes each rate independently scoreable.
- End with a two-line comparison statement — 'Under traditional costing, overhead absorbed uniformly @ ₹3.75/DLH; under ABC, overhead traced via activity consumption' seals the question and shows conceptual grasp, which fetches the last presentation mark.
2Examiner-rewarded phrases
3Common trap
Watch out — most students distribute machine costs (₹1,62,000 + ₹27,000) in the 3:1 ratio directly, forgetting to first add the Maintenance staff salary allocation (₹7,500) to Repairs before forming the 'Machine Maintenance' pool. That single miss cascades wrong figures into every ABC driver rate and wipes out most of Part (ii) marks even if your method is textbook-perfect.