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Index Numbers

Question
CBSEENST11024694

Construct consumer price index number with the help of following data. The weights of these items are 35,10,20,15, 20, respectively.

Items

Base year Price (Rs.)

Current Year Price

Food

150

145

Fuel

25

23

Cloth

75

65

Rent

30

30

Miscellaneous

40

45

Solution

Items

Weight in % W

Base Period Price (Rs.)

Current Period price (Rs.)

R = P/Poxl00 (in%)

WR

Food

35

150

145

96.67

3883.45

Fuel

10

25

23

92.00

920.00

Cloth

20

75

65

86.67

1733.40

Rent

15

30

30

100.00

1500.00

Miscellaneous

20

40

45

112.50

2250.00

 

ΣW = 100

   

ΣWR = 9786.85

It means that the cost of living has decreased by 2.14 (100-97.86) percent.