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Economics · Ch 14 — Index Numbers

Consumer Price Index

14.4.1

Consumer Price Index

The Consumer Price Index (CPI), also called the cost-of-living index, measures the average change in retail prices. To read it, consider: CPI for industrial workers (2001 = 100) is 277 in December 2014. This means a worker who spent Rs 100 on a typical basket in 2001 needs Rs 277 in December 2014 to buy an identical basket — whether or not he actually buys it, what matters is the capability to do so.

CPI is a weighted average of price relatives, CPI=ΣWRΣWCPI = \dfrac{\Sigma WR}{\Sigma W}, where R=P1P0×100R = \dfrac{P_1}{P_0}\times100 is each item's price relative. Worked example:

ItemWeight WW (%)Base price (Rs)Current price (Rs)R=P1P0×100R=\frac{P_1}{P_0}\times100WRWR
Food3515014596.673383.45
Fuel10252392.00920.00
Cloth20756586.671733.40
Rent153030100.001500.00
Misc.204045112.502250.00

CPI=ΣWRΣW=9786.85100=97.86CPI = \frac{\Sigma WR}{\Sigma W} = \frac{9786.85}{100} = 97.86 …