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Sum
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 |
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Solution
Group | Base Year | Current Year | p1q0 | p0q0 | |
p0 | q0 | p1 | |||
Food | 40 | 15 | 45 | 675 | 600 |
Clothing | 30 | 10 | 35 | 350 | 300 |
Fuel & Lighting | 20 | 17 | 25 | 425 | 340 |
House Rent | 60 | 22 | 70 | 1540 | 1320 |
Miscellaneous | 70 | 25 | 80 | 2000 | 1750 |
Total | – | – | – | 4990 | 4310 |
From the table
`sum"p"_1"q"_0 = 4,990, sum"p"_0"q"_0 = 4,310`
Now, by Aggregate Expenditure Method,
CLI = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
= `(4990)/(4310) xx 100`
= 115.78
Concept: Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method
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