Worked Solution
✓ VerifiedCVP Analysis — ABC Ltd (Revised Scenario)
Step 1 — Current Position Analysis
Given: Sales = ₹10,00,000 | C/S Ratio = 37% | Margin of Safety (MOS) = 25% of Sales
Current MOS (₹) = 25% × ₹10,00,000 = ₹2,50,000
Current BEP = Sales − MOS = ₹10,00,000 − ₹2,50,000 = ₹7,50,000
Current Fixed Cost = BEP × C/S Ratio = ₹7,50,000 × 37% = ₹2,77,500
Current Total Variable Cost = Sales × (1 − C/S) = ₹10,00,000 × 63% = ₹6,30,000
Key Assumption: Since only selling price decreases (not volume), the number of units sold remains unchanged. Therefore, total variable cost remains ₹6,30,000 for the revised scenario.
Step 2 — Revised Sales (ii)
Under revised conditions: New C/S Ratio = 30%, so Variable Cost / New Sales = 70%
Revised Sales = Total Variable Cost ÷ Variable Cost Ratio = ₹6,30,000 ÷ 70% = ₹9,00,000
Step 3 — New Break-Even Point (iii)
New MOS = 40% of New Sales = 40% × ₹9,00,000 = ₹3,60,000
New BEP = New Sales − New MOS = ₹9,00,000 − ₹3,60,000 = ₹5,40,000
Step 4 — Revised Fixed Cost (i)
Revised Fixed Cost = New BEP × New C/S Ratio = ₹5,40,000 × 30% = ₹1,62,000
Verification: Fixed cost has decreased from ₹2,77,500 to ₹1,62,000 — consistent with the problem statement.
Summary of Answers:
(i) Revised Fixed Cost = ₹1,62,000
(ii) Revised Sales = ₹9,00,000
(iii) New Break-Even Point = ₹5,40,000
Write it like this
1The skeleton
- Nail the current position first in a mini-table — show Current MOS(₹), Current BEP, and Current Fixed Cost in 3 lines before touching the revised scenario; examiners award step marks here even if you slip later.
- State the key assumption explicitly — write 'Since only selling price decreases and not volume, total variable cost remains ₹6,30,000 in the revised scenario'; this one sentence is the hinge of the whole solution and examiners look for it.
- Derive Revised Sales using Variable Cost ÷ New Variable Cost Ratio — don't guess or set up an equation; the logic is clean: same VC, new ratio, so ₹6,30,000 ÷ 70% = ₹9,00,000, and writing it this way shows examiner-level clarity.
- Answer parts in the order asked: (i) Fixed Cost → (ii) Sales → (iii) BEP — but solve in the logical order (Sales first, then BEP, then Fixed Cost) and simply re-label at the end; this prevents the examiner from thinking you got confused.
- Close with a one-line verification — 'Fixed cost decreased from ₹2,77,500 to ₹1,62,000, consistent with the problem'; this costs you 10 seconds and signals professional-level thinking that separates 18/20 from 20/20.
- Box your three final answers — put Revised Fixed Cost, Revised Sales, and New BEP in a ruled summary box; examiners scanning quickly will tick all three and you lose zero marks to missed readings.
2Examiner-rewarded phrases
3Common trap
The single killer mistake is jumping straight into the revised scenario without anchoring on the assumption that variable cost stays fixed — most students either skip it entirely or try to work with the new C/S ratio in isolation, which makes Revised Sales undeterminable and collapses the entire solution. If you don't state why VC is constant, even a correct final answer can lose 4-6 marks on steps.