Official Suggested Answer
(i) Actual Hours
Variable overhead efficiency variance:
(Standard hours for Actual Production - Actual Hours) x Standard Rate
{(15,560 x 5) - Actual Hours} x 3 = ₹ 11,400 F
Actual Hours = 74,000
(ii) Actual Variable Overhead rate per hour
Variable overhead expenditure Variance:
Std. overhead for Actual hours - Actual Variable Overhead
(74,000 x 3) - Actual Variable overheads = ₹ 37,000 (A)
Actual Variable overhead = ₹ 2,59,000
Actual Variable Rate per hour = 2,59,000 / 74,000 = ₹ 3.5 per hour
(iii) Variable Overhead Cost Variance
Variable overhead Efficiency Variance + Variable overhead Expenditure Variance
11,400 (F) + 37,000 (A) = ₹ 25,600 (A)
(iv) Fixed Overhead Cost Variance
Fixed overhead Cost Variance:
(Absorbed Fixed Overheads) - (Actual Fixed Overheads)
(SH x SR) - (AH x AR)
(77,800 x 2) - 1,85,000 = ₹ 29,400 (A)
Source: ICAI Board of Studies. open source PDF ↗
Worked Solution
✓ VerifiedPart (a): Selling Price per Desk in June (Output: 4,000 units)
From the April and May data, the standard cost per unit is derived by computing per-unit figures. April: DM ₹15,00,000 ÷ 3,000 = ₹500/unit; DW ₹6,00,000 ÷ 3,000 = ₹200/unit; FOH ₹4,50,000 ÷ 3,000 = ₹150/unit. May confirms these identical per-unit rates (₹19,00,000 ÷ 3,800 = ₹500; ₹7,60,000 ÷ 3,800 = ₹200; ₹5,70,000 ÷ 3,800 = ₹150). The high-low method confirms factory overhead is entirely variable at ₹150/unit with zero fixed component.
For June, applying the stated increases: Direct Material = ₹500 × 1.10 = ₹550/unit; Direct Wages = ₹200 × 1.15 = ₹230/unit; Factory Overhead = ₹150 × 1.20 = ₹180/unit. Total cost per unit in June = ₹960.
Profit desired = 11.5% on Selling Price, meaning Cost represents 88.5% of SP.
Selling Price per desk = ₹960 ÷ 0.885 = ₹1,084.75
---
Part (b): Total Wages — Ajoy (Halsey 50%) and Bijoy (Rowan Plan)
Let W = Normal wage rate per hour (same for both); M = Material cost (same for both, using same material).
Ajoy — Halsey 50% Plan:
Time saved = 40 − 32 = 8 hours. Bonus = 50% × 8 × W = 4W. Total wages = 32W + 4W = 36W. Factory OH = 32 × ₹100 = ₹3,200.
Factory Cost equation: M + 36W + 3,200 = 1,24,800 → M + 36W = 1,21,600 … (1)
Bijoy — Rowan Plan:
Time saved = 40 − 30 = 10 hours. Bonus = (10/40) × 30 × W = 7.5W. Total wages = 30W + 7.5W = 37.5W. Factory OH = 30 × ₹100 = ₹3,000.
Factory Cost equation: M + 37.5W + 3,000 = 1,24,800 → M + 37.5W = 1,21,800 … (2)
Subtracting (1) from (2): 1.5W = 200 → W = ₹133.33 per hour (₹400/3).
From (1): M = 1,21,600 − 36 × (400/3) = 1,21,600 − 4,800 = ₹1,16,800.
Total Wages — Ajoy = 36 × (400/3) = ₹4,800
Total Wages — Bijoy = 37.5 × (400/3) = ₹5,000
Comparative Cost Statement:
| Element | Ajoy (₹) | Bijoy (₹) |
|---|---|---|
| Material Cost | 1,16,800 | 1,16,800 |
| Total Wages (Normal + Bonus) | 4,800 | 5,000 |
| Factory Overhead (@ ₹100/hr) | 3,200 | 3,000 |
| Total Factory Cost | 1,24,800 | 1,24,800 |
Conclusion: Bijoy earns ₹200 more in wages than Ajoy under the Rowan plan, yet the employer's total factory cost is identical for both workers. Bijoy's higher bonus is exactly offset by the ₹200 saving in factory overhead (30 hours vs 32 hours). This demonstrates the employer-friendly design of both bonus schemes — the Rowan plan rewards the faster worker proportionately while leaving total cost unchanged, whereas the Halsey plan is simpler but slightly less rewarding for higher time-savings.
Write it like this
1The skeleton
- Label Part (a) and Part (b) clearly at the top — examiners scan headings first; an unlabeled answer makes them hunt for marks and they give up early.
- In Part (a), verify per-unit cost from BOTH April and May before touching June — showing identical rates from two months proves you extracted the standard cost correctly, not just divided once and got lucky.
- Call out the high-low inference explicitly: since rates are identical across both months, fixed overhead = ₹0; write this one line or you'll lose the logic mark even if your June number is right.
- In Part (a), write the SP formula as a fraction before plugging in: SP = Cost ÷ (1 − 0.115); this one line separates you from the herd who silently multiply and get docked for 'no working'.
- In Part (b), define W and M as unknowns in the very first line — then build both equations before solving; if you solve by inspection or trial, the examiner has no chain to award part-marks on.
- Close Part (b) with a formatted comparison table and one-sentence conclusion — the table shows factory cost equality and the conclusion line about Rowan being 'employer-friendly' is what earns the last presentation mark.
2Examiner-rewarded phrases
3Common trap
The single biggest mark-killer here is treating '11.5% profit on selling price' as '11.5% on cost' — if you multiply ₹960 × 1.115 you get ₹1,070.40 instead of ₹1,084.75 and lose the full calculation mark. Separately, in Part (b), students often write Bijoy's Rowan bonus as (Time Saved / Time Allowed) × Time Allowed × W instead of × Actual Time Taken × W — the 'Actual Time' in the numerator is the trap Rowan hides every single time.