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Worked Examples · Example 3
Q.

A manufacturer purchases four distinct raw materials, that differ in unit price as given below:

CommodityUnit Price (₹) Year 2000Unit Price (₹) Year 2008
A3.203.8
B1.702.1
C148.10149.50
D3445

Calculate an unweighted aggregate price index for year 2008 using year 2000 as the base period.

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Summing all four unit prices, ∑p1∑p0×100=200.40187.00×100≈107.17\frac{\sum p_1}{\sum p_0}\times100=\frac{200.40}{187.00}\times100\approx 107.17 — prices rose about 7.2% overall from 2000 to 2008.

Simple (unweighted) aggregate price index =∑p1∑p0×100=\dfrac{\sum p_1}{\sum p_0}\times100, where p0p_0 = base-year (2000) unit price, p1p_1 = current-year (2008) unit price, summed over all commodities.

  1. Build the working table.
Commodityp0p_0 (₹, 2000)p1p_1 (₹, 2008)
A3.203.80
B1.702.10
C148.10149.50
D34.0045.00
Total∑p0=187.00\sum p_0=187.00∑p1=200.40\sum p_1=200.40
  1. Sum base-year prices. ∑p0=3.20+1.70+148.10+34.00=\sum p_0=3.20+1.70+148.10+34.00= ₹187.00.
  2. Sum current-year prices. ∑p1=3.80+2.10+149.50+45.00=\sum p_1=3.80+2.10+149.50+45.00= ₹200.40. …

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