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Index Numbers

Question
CBSEENST11024582

The monthly per capita expenditure incurred by workers for an industrial centre during 1980 and 2005 on the following items are given below. The weights of these items are 75, 10, 5, 6, and 4, respectively. Prepare a weighted index number for cost of living for 2005 with 1980 as the base.

Items

Price in 1980

Price in 2005

Food

100

200

Clothing

20

25

Fuel and lighting

15

20

House Rent

30

40

Misc.

35

65

Solution

Items

W

Price in 1980

Price in 2005

WR

Food

75

100

200

200

15000

Clothing

10

200

25

125

1250

Fuel and lighting

5

15

20

133.33

666.65

House Rent

6

30

40

133.37

800.72

Misc.

4

35

65

185.7

742.84

 

ΣW = 100

     

18459.71