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Question

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

Expenses on items

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 during the year 2004 as compared with 1995?

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Solution

Items

Weight

W

Price in 1995

P0

Price in 2004

P1

WR

Food

35

1400

1500

3,749.90

Fuel

10

200

250

1,250

Clothing

20

500

750

3,000

Rent

15

200

300

2,250

Misc.

20

250

400

3,200

Cost of Living Index = 134.50

Thus, the prices rose by 34.50% during 1995 and 2004.


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