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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Index Numbers and Time Series

Using the ratio-to-trend method, the actual sales of a shop in a quarter were ₹ 66,000 while the trend value for that quarter was ₹ 60,000. What is the seasonal index figure for that quarter in this single observation (ratio to trend × 100)?

The index is 110. In the ratio-to-trend method the seasonal figure is actual divided by trend, times 100: 66,000 divided by 60,000 is 1.10, giving 110. Inverting the ratio would wrongly give 90.9.

  1. A90.9
  2. B110Correct
  3. C106
  4. D10

Explanation

Ratio to trend = actual / trend × 100 = 66,000 / 60,000 × 100 = 110. The option 90.9 comes from inverting the ratio (60,000/66,000). The option 10 is the percentage excess, not the index.

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