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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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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प्रश्न

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

बेरीज

उत्तर

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

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Construction of Index Numbers - Weighted Aggregate Method
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Index Numbers - Exercise 5.2 [पृष्ठ ८२]

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संबंधित प्रश्‍न

If ∑ p0q0 = 140, ∑ p0q1 = 200, ∑ p1q0 = 350, ∑ p1q1 = 460, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s and Marshall-Edgeworth’s Price Index Numbers.


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I 8 30 11 28
II 9 25 12 22
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I 8 30 12 25
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  Price
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p0
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Solve the following problem :

If `sum"p_"0"q"_0 = 120, sum "p"_0"q"_1 = 160, sum "p"_1"q"_1 = 140, and sum "p"_1"q"+0` = 200, find Laspeyre’s, Paasche’s Dorbish-Bowley’s and Marshall Edgeworth’s Price Index Number.


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