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Worked Examples · Example 4
Q.

Construct the index number by the Simple Average of relatives Method for the following data:

CommodityUnit Price (₹) Year 2000Unit Price (₹) Year 2008
A3.203.8
B1.702.1
C148.10149.50
D3445
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Averaging the four price relatives (118.75,123.53,100.95,132.35118.75, 123.53, 100.95, 132.35) gives an index of 475.584≈118.89\frac{475.58}{4}\approx 118.89 for 2008 with base 2000.

Simple average of price relatives =∑(p1p0×100)N=\dfrac{\sum\left(\frac{p_1}{p_0}\times100\right)}{N}, where p0p_0 = base-year (2000) price, p1p_1 = current-year (2008) price, NN = number of commodities =4=4.

  1. Compute each price relative R=p1p0×100R=\dfrac{p_1}{p_0}\times100.
Commodityp0p_0 (2000)p1p_1 (2008)R=p1p0×100R=\frac{p_1}{p_0}\times100
A3.203.803.803.20×100=118.75\frac{3.80}{3.20}\times100=118.75
B1.702.102.101.70×100=123.53\frac{2.10}{1.70}\times100=123.53
C148.10149.50149.50148.10×100=100.95\frac{149.50}{148.10}\times100=100.95

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