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If Laspeyre’s and Dorbish’s Price Index Numbers are 150.2 and 152.8 respectively, find Paasche’s Price Index Number. - Mathematics and Statistics

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Question

If Laspeyre’s and Dorbish’s Price Index Numbers are 150.2 and 152.8 respectively, find Paasche’s Price Index Number.

Sum

Solution

Given, P01(L) = 150.2, P01(D-B) = 152.8
Dorbish-Bowley’s Price Index Number:

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

∴ 152.8 = `(150.2 + "P"_01("P"))/(2)`

∴ 305.6 = 150.2 6 + P01(P)
∴ P01(P) = 305.6 – 150.2 = 155.4

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

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