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Compute (i) Laspeyre’s (ii) Paasche’s (iii) Fisher’s Index numbers for 2010 from the following data.

Commodity  Price Quantity
2000 2010 2000 2010
A 12 14 18 16
B 15 16 20 15
C 14 15 24 20
D 12 12 29 23

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Laspeyre’s price index number

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

= 1280/1200 x 100

\(P^L_{01}\) = 106.6

Paasche’s price index number

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

= 1040/973 x 100

\(P^P_{01}\) = 106.8

Fisher’s price index number

On an average, there is an increase of 6.6%, 6.8% and 6.7% in the price of the commodities by Laspeyre’s, Paasche’s and Fisher’s index number respectively for the current year 2010 as compared to the base year 2000.

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