Worked Solution
✓ VerifiedBreak Even Analysis — SHA Limited
The marginal costing relationship is: Sales = Variable Cost + Fixed Cost + Profit. Since Fixed Cost is assumed constant across both years, we use the two years' data to derive the P/V Ratio and Fixed Cost.
Step 1 — P/V Ratio:
Using the change in contribution method:
Change in Profit = ₹2,50,000 − ₹1,60,000 = ₹90,000
Change in Sales = ₹25,00,000 − ₹20,00,000 = ₹5,00,000
P/V Ratio = 90,000 ÷ 5,00,000 = 18%
(i) Fixed Cost:
Using 2012-13: Contribution = 25,00,000 × 18% = ₹4,50,000
Fixed Cost = Contribution − Profit = 4,50,000 − 2,50,000 = ₹2,00,000
Verification (2013-14): Contribution = 20,00,000 × 18% = 3,60,000; Profit = 3,60,000 − 2,00,000 = ₹1,60,000 ✓
(ii) Break Even Point (BEP):
BEP (in Sales) = Fixed Cost ÷ P/V Ratio = 2,00,000 ÷ 0.18 = ₹11,11,111 (approx.)
(iii) Profit when Sales = ₹30,00,000:
Contribution = 30,00,000 × 18% = ₹5,40,000
Profit = 5,40,000 − 2,00,000 = ₹3,40,000
(iv) Sales to earn desired profit of ₹4,75,000:
Required Sales = (Fixed Cost + Desired Profit) ÷ P/V Ratio
= (2,00,000 + 4,75,000) ÷ 0.18 = 6,75,000 ÷ 0.18 = ₹37,50,000
(v) Margin of Safety at profit of ₹2,70,000:
Margin of Safety (₹) = Profit ÷ P/V Ratio = 2,70,000 ÷ 0.18 = ₹15,00,000
Actual Sales at this profit = (2,00,000 + 2,70,000) ÷ 0.18 = ₹26,11,111
MOS as % of Sales = 15,00,000 ÷ 26,11,111 × 100 = 57.47% (approx.)
Write it like this
1The skeleton
- Start by writing the P/V Ratio derivation using the 'change' formula — examiners look for this as your opening move because it shows you know fixed cost is constant; don't jump straight to BEP without proving your P/V Ratio first.
- Show the Change in Profit and Change in Sales as separate lines before dividing — writing ₹90,000 ÷ ₹5,00,000 = 18% without labelling the numerator/denominator drops easy presentation marks even if the number is right.
- Use one year to calculate Fixed Cost, then verify with the other year — that one-line verification tick (✓) is a signal to the examiner you know what you're doing and it protects you if your P/V Ratio is slightly off.
- For each sub-part (i–v), write the formula first, then substitute values — examiners award method marks separately from answer marks; no formula = no method mark even if the final figure is correct.
- For Margin of Safety, compute both the ₹ figure AND the % of sales — the question often asks for both and students leave the % blank; MOS = Profit ÷ P/V Ratio is the shortcut that saves 30 seconds here.
- Round and label every answer clearly (₹ and 'approx.' where needed) — ₹11,11,111 without 'approx.' looks like a transcription error to a tired examiner; the label removes all doubt.
2Examiner-rewarded phrases
3Common trap
Heads up — the classic trap here is calculating profit percentage on sales (10% of ₹25L = ₹2.5L) and then directly assuming that IS the contribution. It's not — contribution includes fixed cost too. Your P/V Ratio must come from the change method, not from one year's profit margin alone, or your Fixed Cost will be wrong and every subsequent sub-part cascades into error.