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Calculate the cost of living index in problem - Mathematics and Statistics

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प्रश्न

Calculate the cost of living index in problem 

Group Base Year Current Year
  Price Quantity Price
Food 120 15 170
Clothing 150 20 190
Fuel & Lighting 130 30 220
House Rent 160 10 180
Miscellaneous 200 12 200
योग

उत्तर

Group Base Year Current Year p1q0 p0q0
  p0 q0 P1    
Food 120 15 170 2550 1800
Clothing 150 20 190 3800 3000
Fuel & Lighting 130 30 220 6600 3900
House Rent 160 10 180 1800 1600
Miscellaneous 200 12 200 2400 2400
Total 17150 12700

From the table,
`sum"p"_1"q"_0 = 17,150, sum"p"_0"q"_0 = 12,700`
Now, by Aggregate Expenditure Method,

CLI = `(sum"P"_1"q"_0)/(sum"p"_0"q"_0) xx 100`

= `(17150)/(12700) xx 100`
= 135.04

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Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Index Numbers - Exercise 5.3 [पृष्ठ ८७]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 5 Index Numbers
Exercise 5.3 | Q 1 | पृष्ठ ८७

संबंधित प्रश्न

Calculate the cost of living index in problem

Group Base Year Current Year
  Price Quantity Price
Food 40 15 45
Clothing 30 10 35
Fuel & Lighting 20 17 25
House Rent 60 22 70
Miscellaneous 70 25 80

Calculate the cost of living index in problem

Group Base Year Current Year
  Price Quantity Price
Food 132 10 170
Clothing 154 12 160
Fuel & Lighting 164 20 180
House Rent 175 18 195
Miscellaneous 128 5 120

The cost of Living Index Number using Aggregate Expenditure Method is given by ______.


Choose the correct alternative: 

The Cost of Living Index Number by Aggregate Expenditure Method is same as


The Cost of Living Index Number by Aggregate Expenditure Method is given by ______


Calculate the Cost of Living Index Number for the following data.

Group Base Year Current Year
Price Quantity Price
Food 40 5 20
Clothing 30 10 35
Fuel and Lighting 20 17 10
House Rent 60 22 10
Miscellaneous 70 25 8

Given the following table, find the Cost of living Index Number using Aggregate Expenditure Method by completing the activity.

Group p0 q0 p1 p0q0 p1q0
A 23 4 25 `square` 100
B 15 5 20 75 `square`
C 5 9 8 `square` 72
D 12 5 18 60 `square`
E 8 6 13 `square` 78
Total 320 `square`

Therefore, Cost of Living Index using Aggregate Expenditure method is

CLI = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx square`

= `square/square xx 100`

= `square`


Calculate the cost of living index number for the following data by aggregative expenditure method:

Group Base year Current year
Price Quantity Price
Food 120 15 170
Clothing 150 20 190
Fuel and lighting 130 30 220
House rent 160 10 180
Miscellaneous 200 11 220

Calculate the Cost of Living Index Number for the following data.

Group Base Year Current Year
Price Quantity Price
Food 132 10 170
Clothing 154 12 160
Fuel and Lighting 164 20 180
House Rent 175 18 195
Miscellaneous 128 5 120

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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