Worked Solution
✓ VerifiedStep 1: Segregation of Costs using High-Low Method
Using the two years' data to separate fixed and variable costs:
Change in Cost = ₹45,60,000 − ₹34,40,000 = ₹11,20,000
Change in Units = 1,20,000 − 80,000 = 40,000 units
(i) Variable Cost per unit = ₹11,20,000 ÷ 40,000 = ₹28 per unit
Fixed Cost (using Year 2013 data) = ₹34,40,000 − (28 × 80,000) = ₹34,40,000 − ₹22,40,000 = ₹12,00,000
Verification (Year 2014): ₹12,00,000 + (28 × 1,20,000) = ₹45,60,000 ✓
Contribution per unit = Selling Price − Variable Cost = ₹40 − ₹28 = ₹12 per unit
(ii) Profit Volume (P/V) Ratio = (Contribution per unit ÷ Selling Price) × 100 = (₹12 ÷ ₹40) × 100 = 30%
(iii) Break-Even Point (in units) = Fixed Cost ÷ Contribution per unit = ₹12,00,000 ÷ ₹12 = 1,00,000 units
(iv) Profit at 75% Capacity:
75% of 2,00,000 = 1,50,000 units
Contribution = 1,50,000 × ₹12 = ₹18,00,000
Less: Fixed Cost = ₹12,00,000
Profit = ₹6,00,000
Write it like this
1The skeleton
- Label your first line 'High-Low Method' — examiners are trained to tick this heading; without it your cost segregation looks like a random subtraction.
- Show Change in Cost ÷ Change in Units as a named formula step — write 'Variable Cost per unit = ΔCost ÷ ΔUnits' explicitly so the method is unmistakable and you pocket the method mark even if arithmetic slips.
- Plug back to find Fixed Cost using ONE year's data, then verify with the other — that one-line verification '✓' signals examiner-level rigour and protects you if FC looks odd.
- State Contribution per unit as its own line before computing P/V Ratio — don't embed it silently inside the ratio formula; examiners award a separate tick for this.
- For the 75% capacity sub-part, convert percentage to units first on its own line — writing '75% × 2,00,000 = 1,50,000 units' before any arithmetic stops you from accidentally using ₹ figures in a units slot.
- End each sub-answer with a boxed/bold result and unit label — '₹6,00,000 profit', '1,00,000 units', '30%'; examiners scan right margin for final answers, so naked numbers without labels lose presentation marks.
2Examiner-rewarded phrases
3Common trap
The sneaky mistake here is jumping straight to P/V Ratio or BEP without first explicitly segregating fixed and variable costs — you'll likely use wrong numbers AND lose the High-Low method step mark. Also watch out: the question says 75% of *total capacity* (2,00,000), not 75% of actual sales — confusing these two wipes out the entire last sub-part.