If P01(L) = 40 and P01(P) = 90, find P01(D-B) and P01(F). - Mathematics and Statistics

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Sum

If P01(L) = 40 and P01(P) = 90, find P01(D-B) and P01(F).

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Solution

Given, P01(L) = 40 and P01(P) = 90

Dorbish-Bowley’s Price Index Number

P01(D-B) = `("P"_01("L") + "P"_01("P"))/2`

= `(40 + 90)/2`

= `130/2`

= 65

Fisher’s Price Index Number

P01(F) = `sqrt("P"_01("L") xx "P"_01("P"))`

= `sqrt(40 xx 90)`

= `sqrt(3600)`

= 60`

Concept: Construction of Index Numbers - Weighted Aggregate Method
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Chapter 2.5: Index Numbers - Q.4

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