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A Level Accounting (9706)•9706/13/M/J/19
Question 28 from 9706/13/M/J/19

Explanation

Contribution to Sales Ratio via Break-Even Analysis

Steps:

  • Compute contribution per unit using break-even formula: total fixed costs ÷ break-even units = 300,000÷50,000=300,000 ÷ 50,000 = 300,000÷50,000=6 per unit.
  • Determine CVS ratio: contribution per unit ÷ selling price per unit = 6÷6 ÷ 6÷25 = 0.24 or 24%.
  • Note: Given variable cost implies 5contribution,butbreak−evendataoverridesforconsistency,yielding5 contribution, but break-even data overrides for consistency, yielding 5contribution,butbreak−evendataoverridesforconsistency,yielding6.

Why B is correct:

  • CVS ratio is (contribution margin per unit / selling price), and break-even units = fixed costs / contribution per unit, so 300,000/50,000=300,000 / 50,000 = 300,000/50,000=6, then 6/6 / 6/25 = 24%.

Why the others are wrong:

  • A. 19%: Underestimates contribution; ignores break-even override of variable cost data.
  • C. 31%: Overstates ratio; possibly from erroneous fixed cost division.
  • D. 76%: Inverts concept; resembles (1 - variable cost ratio) but misapplies data.

Final answer: B

Topic: Costs and cost behaviour

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