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Question 43 of 45
Q.

The chain base index numbers of agricultural production of a state from the year 2008-2013 are as follows. Compute the fixed base index numbers (Take 2007 as base year):

Year200820092010201120122013
Index Number of Agricultural Production10011095108120106
Gujarat GsebGujarat Board (GSEB) HSC Commerce Board 2026Subjective· 3mImportance★★★★★
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FBIcurrent=CBIcurrent×FBIprevious100\text{FBI}_{\text{current}}=\dfrac{\text{CBI}_{\text{current}}\times\text{FBI}_{\text{previous}}}{100}; chaining from 2008 gives the fixed-base series.

The chain base index numbers act as link relatives. The fixed base index (FBI) is built up by

FBIcurrent=CBIcurrent×FBIprevious100.\text{FBI}_{\text{current}}=\frac{\text{CBI}_{\text{current}}\times \text{FBI}_{\text{previous}}}{100}.

Taking 2008 as the first year (its chain index 100100 is already relative to 2007):

YearChain base indexFixed base index (base 2007)
2008100100100
2009110110×100100=110\dfrac{110\times100}{100}=110

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