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in Applied Statistics by (48.1k points)
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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

1 Answer

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Best answer

Laspeyr's price index number

\(P^L_{01} = \frac {\sum p_1q_0} {\sum p_0q_0}\times100\)

= 1150/425 x 100 = 270.6

Paasche's price index number

\(P^P_{01} = \frac {\sum p_1q_0} {\sum p_0q_0}\times100\)

= 1450/550 x 100 = 263.63

On an average, there is an increase of 170.6% and 163.63% in the price of the commodities by Laspeyre’s and Paasche’s price index number respectively for the current year 2005 as compared with the base year 1995.

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