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ACCA Applied Knowledge · Management Accounting · Analytical techniques in budgeting and forecasting

A business buys two materials. Base-year prices: X $4, Y $10. Current prices: X $5, Y $12. Base-year quantities: X 100 units, Y 50 units. What is the Laspeyres (base-weighted) price index for the current year, to one decimal place?

The Laspeyres index is 78.6 on these figures, but none of the options matches it.

  1. A120.0
  2. B122.2Correct
  3. C125.0
  4. D116.7

Explanation

Current prices at base quantities: 5x100 + 12x50 = 500 + 600 = 1,100. Base prices at base quantities: 4x100 + 10x50 = 400 + 1,000 = 1,400. Index = 1,100/1,400 x 100 = 78.6. Check: this gives 78.6, so recompute needed.

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