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Calculate price index number for 2005 by (a) Laspeyre’s (b) Paasche’s method Commodity 1995 2005 Price Quantity Price Quantity A 5 60 15 70 B 4 20 8 35 C 3 15 6 20

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प्रश्न

Calculate price index number for 2005 by (a) Laspeyre’s (b) Paasche’s method

Commodity 1995 2005
Price Quantity Price  Quantity
A 5 60 15 70
B 4 20 8 35
C 3 15 6 20
सारिणी
योग
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उत्तर

Commodity 1995
(Base year)
2005
(Current year)
p0q0 p0q1 p1q0 p1q1
p0 q0 p1  q1
A 5 60 15 70 300 350 900 1050
B 4 20 8 35 80 140 60 280
C 3 15 6 20 45 60 90 120
Total `sum"p"_0"q"_0` = 425 `sum"p"_0"q"_0` = 550 `sum"p"_1"q"_0` = 1150 `sum"p"_1"q"_1` = 1450

(a) Laspeyre’s price index number

`"P"_01^"L" = (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`

= `1150/425 xx 100`

= 270.6

(b) Passche's price index

`"P"_01^"P" = (sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`

= `2230/550  xx 100`

= 405.5

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अध्याय 9: Applied Statistics - Exercise 9.2 [पृष्ठ २१९]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 9 Applied Statistics
Exercise 9.2 | Q 15 | पृष्ठ २१९

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