Short Answer

Analyzing an Incorrect Price Index Calculation

An economics student is calculating a price index for an economy that consumes only two goods: apples and bananas. The student has collected the following data:

  • Base Year: 10 apples at $1 each, 20 bananas at $0.50 each.
  • Current Year: 12 apples at $1.20 each, 25 bananas at $0.60 each.

The student calculates the price index for the Current Year as follows:

  • Cost of basket in Current Year = (12 apples * $1.20) + (25 bananas * $0.60) = $29.40
  • Cost of basket in Base Year = (10 apples * $1.00) + (20 bananas * $0.50) = $20.00
  • Price Index = ($29.40 / $20.00) * 100 = 147

Identify the fundamental error in the student's calculation of the 'Cost of basket in Current Year' and explain why this error violates the core principle of a fixed-basket price index.

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Updated 2025-08-09

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