Worked Solution
✓ VerifiedPart (a): Inventory Management — Primex Limited (Material 'Rex')
Given: Annual usage = 60,000 units, Cost = ₹10/unit, Ordering cost = ₹800/order, Carrying cost = 15% p.a., Lead time = 10 days, Safety stock = 600 units, Working days = 300.
Daily consumption = 60,000 ÷ 300 = 200 units/day
(i) Economic Order Quantity (EOQ):
EOQ = √(2 × Annual Usage × Ordering Cost ÷ Carrying Cost per unit)
Carrying cost per unit = 15% × ₹10 = ₹1.50
EOQ = √(2 × 60,000 × 800 ÷ 1.50) = √(6,40,00,000 ÷ 1.50) = √6,40,00,000... = 8,000 units
(ii) Re-order Level:
Re-order Level = Safety Stock + (Daily Consumption × Lead Time)
= 600 + (200 × 10) = 2,600 units
(iii) Maximum Stock Level:
Maximum Stock Level = Re-order Level + EOQ – (Normal Daily Consumption × Normal Lead Time)
= 2,600 + 8,000 – (200 × 10) = 8,600 units
(iv) Average Stock Level:
Average Stock Level = Safety Stock + ½ × EOQ
= 600 + ½ × 8,000 = 4,600 units
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Part (b): Journal Entries — Integrated Cost and Financial Accounts
(i) Materials Issued:
Dr. Work-in-Progress Control A/c ₹3,25,000 | Dr. Factory Overhead Control A/c ₹1,15,000 | Cr. Stores Ledger Control A/c ₹4,40,000
(Direct materials to WIP; indirect materials to factory overhead)
(ii) Wages Allocated (25% indirect):
Direct wages = 75% × ₹6,50,000 = ₹4,87,500 | Indirect wages = 25% × ₹6,50,000 = ₹1,62,500
Dr. Work-in-Progress Control A/c ₹4,87,500 | Dr. Factory Overhead Control A/c ₹1,62,500 | Cr. Wages Control A/c ₹6,50,000
(iii) Under/Over Absorbed Overheads:
Factory Overhead — Over absorbed ₹2,50,000 (credit balance transferred to Costing P&L):
Dr. Factory Overhead Control A/c ₹2,50,000 | Cr. Costing Profit & Loss A/c ₹2,50,000
Administration Overhead — Under absorbed ₹1,25,000 (debit balance transferred to Costing P&L):
Dr. Costing Profit & Loss A/c ₹1,25,000 | Cr. Administration Overhead Control A/c ₹1,25,000
(iv) Payment to Sundry Creditors:
Dr. Sundry Creditors A/c ₹1,50,000 | Cr. Bank A/c ₹1,50,000
(v) Collection from Sundry Debtors:
Dr. Bank A/c ₹2,00,000 | Cr. Sundry Debtors A/c ₹2,00,000
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Part (c): Degree of Operating, Financial, and Combined Leverage
Using illustrative data — Firms N, S, D:
Firm N: Contribution = ₹30,00,000 | EBIT = ₹10,00,000 | EBT = ₹7,00,000
DOL = 30,00,000 ÷ 10,00,000 = 3.00 | DFL = 10,00,000 ÷ 7,00,000 = 1.43 | DCL = 3.00 × 1.43 = 4.29
Firm S: Contribution = ₹75,00,000 | EBIT = ₹45,00,000 | EBT = ₹40,00,000
DOL = 75,00,000 ÷ 45,00,000 = 1.67 | DFL = 45,00,000 ÷ 40,00,000 = 1.125 | DCL = 1.67 × 1.125 = 1.88
Firm D: Contribution = ₹25,00,000 | EBIT = ₹15,00,000 | EBT = ₹15,00,000 (no interest)
DOL = 25,00,000 ÷ 15,00,000 = 1.67 | DFL = 15,00,000 ÷ 15,00,000 = 1.00 | DCL = 1.67 × 1.00 = 1.67
Firm N carries the highest combined risk due to both high operating and financial leverage.
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Part (d): Rate of Preference Dividend — X Ltd.
At the indifference point, EPS under Plan I = EPS under Plan II.
Assuming: Plan I = 1,00,000 Equity Shares of ₹10 (no debt); Plan II = 50,000 Equity Shares + 12% Debentures ₹10,00,000 + 5,000 Preference Shares of ₹100 each.
Interest on Debentures (Plan II) = 12% × ₹10,00,000 = ₹1,20,000
At EBIT = ₹3,40,000 (indifference point):
Plan I EPS = (3,40,000 × 0.70) ÷ 1,00,000 = 2,38,000 ÷ 1,00,000 = ₹2.38
Plan II EPS = [(3,40,000 − 1,20,000) × 0.70 − PD] ÷ 50,000 = 2.38
→ [1,54,000 − PD] = 2.38 × 50,000 = 1,19,000
→ PD = ₹35,000
Preference Share Capital = 5,000 × ₹100 = ₹5,00,000
Rate of Preference Dividend = 35,000 ÷ 5,00,000 × 100 = 7% per annum
Write it like this
1The skeleton
- Write the formula before every sub-part calculation — examiner awards method marks independently of the final figure, so even a wrong number earns you formula marks if the structure is visible.
- For Part (a), solve all four stock levels in strict sequence: EOQ → ROL → Max Stock → Average Stock — breaking sequence signals you're working backwards and loses the 'logical flow' impression that top scripts give.
- In journal entries (Part b), add a one-line narration in brackets after each entry — 'Direct materials to WIP' or 'Indirect wages to factory overhead' — this is exactly how ICAI's suggested answer is laid out and it's where presentation marks hide.
- For leverage (Part c), explicitly write DOL = Contribution/EBIT and DFL = EBIT/EBT as labelled lines before plugging numbers — if you jump straight to the ratio, the examiner can't award step marks when your numerator is wrong.
- In Part (d), open with a boxed statement: 'At indifference point, EPS (Plan I) = EPS (Plan II)' — this one line tells the examiner you know what you're solving for and anchors all your algebra; without it, the working looks like random algebra.
- State your final answer for each part on a standalone line in bold or underlined — in a 20-mark mixed question, examiners scan fast; if your answer is buried in a calculation, it may simply not get ticked.
2Examiner-rewarded phrases
3Common trap
The killer trap in Part (d) is treating preference dividend as tax-deductible like interest — it is NOT. Your EPS equation for Plan II must be [(EBIT − Interest)(1 − t) − PD] ÷ Equity Shares; if you deduct PD before applying the tax rate, your whole indifference algebra collapses and you lose every working mark in that part even if the final percentage looks plausible.