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A Level Accounting (9706)•9706/11/O/N/20
Question 27 from 9706/11/O/N/20

Explanation

Break-even sales revenue calculation using contribution margin Steps:

  • Compute contribution margin ratio: 480,000contribution÷480,000 contribution ÷ 480,000contribution÷800,000 sales revenue = 0.6 (60%).
  • Apply break-even formula: fixed production costs ÷ contribution margin ratio = $300,000 ÷ 0.6.
  • Perform division: 300,000÷0.6=300,000 ÷ 0.6 = 300,000÷0.6=500,000.
  • Verify: At 500,000sales,contribution=0.6×500,000 sales, contribution = 0.6 × 500,000sales,contribution=0.6×500,000 = $300,000, covering fixed costs exactly.

Why A is correct:

  • Break-even sales revenue equals fixed costs divided by contribution margin ratio per standard cost-volume-profit analysis formula.

Why the others are wrong:

  • B 700,000:Assumesincorrectcontributionmarginratioof 42.9700,000: Assumes incorrect contribution margin ratio of ~42.9% (700,000:Assumesincorrectcontributionmarginratioof 42.9300,000 ÷ $700,000), ignoring given 60% ratio.
  • C 750,000:Mistakenlyusesfixedcosts÷variablecostratio(750,000: Mistakenly uses fixed costs ÷ variable cost ratio (750,000:Mistakenlyusesfixedcosts÷variablecostratio(300,000 ÷ 0.4 = $750,000).
  • D 1,050,000:Likelyerrorsbyaddingvariablecoststofixed(1,050,000: Likely errors by adding variable costs to fixed (1,050,000:Likelyerrorsbyaddingvariablecoststofixed(620,000 total costs ÷ 0.6 ≈ $1,033,000, then rounding up).

Final answer: A

Topic: Costs and cost behaviour

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