# Solve the following problem : Given that Laspeyre’s and Paasche’s Price Index Numbers are 25 and 16 respectively, find Dorbish-Bowley’s and Fisher’s Price Index Number. - Mathematics and Statistics

Sum

Solve the following problem :

Given that Laspeyre’s and Paasche’s Price Index Numbers are 25 and 16 respectively, find Dorbish-Bowley’s and Fisher’s Price Index Number.

#### Solution

Given, P01(L) = 25, P01(P) = 16
Dorbish-Bowley’s Price Index Number:

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

= (25 + 16)/(2)

= (41)/(2)
= 20.5

Fisher’s Price Index Number:

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

= sqrt(25 xx 16)

= sqrt(400)`
= 20

Concept: Construction of Index Numbers - Weighted Aggregate Method
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Chapter 5: Index Numbers - Miscellaneous Exercise 5 [Page 93]

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 5 Index Numbers
Miscellaneous Exercise 5 | Q 4.13 | Page 93
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