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Question
Define family budget method
Solution
In this method, the weights are calculated by multiplying prices and quantity of the base year.
i.e. V = `sum"p"_0"q"_0`.
The formula is given by,
Cost of Living Index Number = `(sum"pv")/(sum"v")`
Where P = `"p"_1/"p"_0 xx 100` is the price relative.
V = `sum"p"_0"q"_0` is the value relative.
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| Year | Commodity: A | Commodity: B | Commodity: C | |||
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| Commodity | Price | Weights | |
| 2012 | 2015 | ||
| Rice | 250 | 280 | 10 |
| Wheat | 70 | 85 | 5 |
| Corn | 150 | 170 | 6 |
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| Commodity | Weight 2010 |
Price (Rs.) | |
| 2010 | 2015 | ||
| P | 80 | 22 | 25 |
| Q | 30 | 30 | 45 |
| R | 25 | 42 | 50 |
| S | 40 | 25 | 35 |
| T | 50 | 36 | 52 |
Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?
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| Wheat | 6 | 10 | 50 | 56 |
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| Firewood | 4 | 6 | 60 | 60 |
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