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Given that Laspeyre’s and Dorbish-Bowley’s Price Index Numbers are 160.32 and 164.18 respectively, find Paasche’s Price Index Number. - Mathematics and Statistics

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Question

Given that Laspeyre’s and Dorbish-Bowley’s Price Index Numbers are 160.32 and 164.18 respectively, find Paasche’s Price Index Number.

Sum

Solution

Given, P01 (L) = 160.32, P01 (D-B) = 164.18

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

∴ `164.18 = (160.32 + "P"_01("P"))/2` 

∴ 328.36 = 160.32 + P01 (P)

∴ P01 (P) = 328.36 - 160.32

∴ P01 (P) = 168.04

shaalaa.com
Construction of Index Numbers - Weighted Aggregate Method
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Chapter 5: Index Numbers - Exercise 5.2 [Page 82]

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