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Index Numbers

Question
CBSEENST11024584

An enquiry into the budgets of the middle class families in a certain city gave the following information.

Expenses on Item

Food 35%

Fuel 10%

Clothing 20%

Rent 15%

Misc. 20%

Price (in Rs.) in 2004

1500

250

750

300

400

Price (in Rs.) in 1995

1400

200

500

200

250


What is the cost of living index of 2004 as compared with 1995?

Solution

Item

Expenses in Percentage

Price in Rs. in 1995

Price in Rs. in 2004 (P1)

WR

Food

35

1400

1500

107.14

3750

Fuel

10

200

250

125.00

1250

Clothing

20

500

750

150.00

3000

Rent

15

200

300

150.00

2250

Misce

20

250

400

160.00

3200

 

ΣW = 100

     

ΣWR = 13450

Cost of living Index