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An Enquiry was made into the budgets of the middle class families in a city gave the following information. Expenditure Food Rent Clothing Fuel Rice Price(2010) 150 50 10

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प्रश्न

An Enquiry was made into the budgets of the middle class families in a city gave the following information.

Expenditure Food Rent Clothing Fuel Rice
Price(2010) 150 50 100 20 60
Price(2011) 174 60 125 25 90
Weights 35 15 20 10 20

What changes in the cost of living have taken place in the middle class families of a city?

सारिणी
योग
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उत्तर

Expenditure Base Year 
Price 2010
(p0)
Current Year
Price 2011
(p1)
Weight
(W)
P = `"p"_1/"p"_0 xx 100`PW PW
Food 150 174 35 116 4060
Rent 50 60 15 120 1800
Clothing 100 125 20 125 2500
Fuel 20 25 10 125 1250
Rice 60 90 20 150 3000
Total 100   12610

Cost of living index number = `(sum"PW")/(sum"W")`

= `12610/100`

= 126.1

For the middle-class families of the city, the cost of living has increased up to 26.1 % in 2011 as compared to 2010.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Applied Statistics - Miscellaneous problems [पृष्ठ २३२]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 9 Applied Statistics
Miscellaneous problems | Q 7 | पृष्ठ २३२

संबंधित प्रश्न

Index number which is computed from a single variable called is a ______.


Explain factor reversal test


State the uses of cost of Living Index Number


Calculate Fisher’s index number to the following data. Also show that it satisfies Time Reversal Test.

Commodity 2016 2017
Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg)
Food 40 12 65 14
Fuel 72 14 78 20
Clothing 36 10 36 15
Wheat 20 6 42 4
Others 46 8 52 6

Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.

Commodity Price Weights
2012 2015
Rice 250 280 10
Wheat 70 85 5
Corn 150 170 6
Oil 25 35 4
Dhal 85 90 3

Choose the correct alternative:

Another name of consumer’s price index number is:


Choose the correct alternative:

Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:


Choose the correct alternative:

Cost of living at two different cities can be compared with the help of


Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?

Commodities Price Quantity
Base Year Current Year Base Year Current Year
Wheat 6 10 50 56
Ghee 2 2 100 120
Firewood 4 6 60 60
Sugar 10 12 30 24
Cloth 8 12 40 36

Choose the correct pair.

Group A Group B
1) Price Index  a) `(sump_1q_1)/(sump_0q_0)xx100`
2) Value Index b) `(sumq_1)/(sumq_0)xx100`
3) Quantity Index  c) `(sump_1q_1)/(sump_0q_1)xx100`
4) Paasche's Index d) `(sump_1)/(sump_0)xx100`

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