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Solve the following problem : Find the cost living index number by the Weighted Aggregate Method. - Mathematics and Statistics

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प्रश्न

Solve the following problem :

Find the cost living index number by the Weighted Aggregate Method.

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 78 80 110 60 90
W 5 3 4 2 6
योग

उत्तर

Group I W IW
Food 78 5 390
Clothing 80 3 240
Fuel and Lighting 110 4 440
House Rent 60 2 120
Miscellaneous 90 6 540
Total 20 1730

From the table,
`sum"W" = 20, sum"IW" = 1730`
Now, by family budget method,

CLI = `(sum"IW")/(sum"W")`

= `(1730)/(20)`
= 86.5

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Method of Constructing Cost of Living Index Numbers - Family Budget Method
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Index Numbers - Miscellaneous Exercise 5 [पृष्ठ ९४]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 5 Index Numbers
Miscellaneous Exercise 5 | Q 4.19 | पृष्ठ ९४

संबंधित प्रश्न

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 70 90 100 60 80
W 5 3 2 4 6

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 400 300 150 120 100
W 3 3 4 5 2

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 200 150 120 180 160
W 30 20 10 40 50

Find x if the cost of living index is 150.

Group Food Clothing Fuel & Lighting House Rent  Miscellaneous
I 180 120 300 100 160
W 4 5 6 x 3

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Find y if the cost of living index is 200.

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 180 120 160 300 200
W 4 5 3 y 2

Solve the following problem :

Find x if the cost of living index number is 193 for the following data.

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 221 198 171 183 161
W 35 14 x 8 20

Choose the correct alternative:

The Cost of Living Index Number using Weighted Relative Method is given by


State whether the following statement is True or False:

For Cost of Living Index Number CLI =`(sum"IW")/(sum"W")`, where I = `("P"_0)/("P"_1) xx 100` and w = p0q0


Calculate the Cost of Living Index by Family Budget method in following example where W are wages of base year and I are current year price relatives.

Group Food Clothing Fuel and
Lighting
House
Rent
Miscellaneous
I 150 140 100 120 200
W 4 3 3 4 6

Find the missing wage if the Cost of Living Index for the following data is 150.

Group Food Clothing Fuel and
Lighting
House
Rent
Miscellaneous
I 200 150 140 100 120
W 6 4 x 3 4

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