Worked Solution
✓ VerifiedGiven Information: P/V Ratio (original) = 40%, Fixed Overheads (original) = Rs. 20,00,000. Selling Price is increased by 10%, Variable Cost increases by 5%, Fixed Overheads increase to Rs. 30,00,000.
Step 1 – Determine the New P/V Ratio
Let original Selling Price = Rs. 100. Since P/V Ratio = 40%, original Variable Cost = Rs. 60, original Contribution = Rs. 40.
After revision: New SP = Rs. 110; New VC = Rs. 60 × 1.05 = Rs. 63; New Contribution = 110 − 63 = Rs. 47.
New P/V Ratio = 47/110 × 100 = 42.73% (i.e., 47/110)
(i) Break-Even Point Sales
Formula: BEP (Sales) = Fixed Costs ÷ P/V Ratio
Original BEP Sales = Rs. 20,00,000 ÷ 0.40 = Rs. 50,00,000
Revised BEP Sales = Rs. 30,00,000 ÷ (47/110) = Rs. 30,00,000 × 110/47 = Rs. 70,21,277 (approx.)
The break-even point sales increase from Rs. 50,00,000 to Rs. 70,21,277 due to the higher fixed overheads and the revised P/V ratio.
(ii) Sales Required for a Profit of Rs. 4,50,000 (after the increase)
Formula: Required Sales = (Fixed Costs + Desired Profit) ÷ P/V Ratio
Required Sales = (Rs. 30,00,000 + Rs. 4,50,000) ÷ (47/110) = Rs. 34,50,000 × 110/47 = Rs. 80,74,468 (approx.)
The firm must achieve sales of Rs. 80,74,468 after the revision to earn a profit of Rs. 4,50,000.
Write it like this
1The skeleton
- Start by assuming SP = Rs. 100 — this is the standard base assumption that unlocks all calculations; if you pick any other number you waste time and confuse the examiner.
- Derive the New P/V Ratio first, before touching BEP or required sales — every subsequent number flows from this; doing it out of order kills your marks even if the final answers are right.
- State the formula explicitly before each calculation — write 'BEP (Sales) = Fixed Costs ÷ P/V Ratio' as a standalone line; examiners award a formula mark separately from the computation mark.
- Present Original vs. Revised side-by-side — the question is asking for comparison, so lay out both BEP figures together with a one-line conclusion; this shows you understood the question's intent.
- Keep the fraction 47/110 intact until the final step — converting to a decimal early (42.73%) introduces rounding error; use the fraction throughout and round only the rupee answer.
2Examiner-rewarded phrases
3Common trap
Watch out — most students apply the 5% VC increase on the NEW selling price of Rs. 110 instead of the original VC of Rs. 60. The question says variable cost increases by 5%, meaning 5% on the existing VC, not on SP — mixing this up gives a wrong P/V ratio and every number after it is wrong.