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प्रश्न
Using Fisher’s Ideal Formula, compute price index number for 1999 with 1996 as base year, given the following:
| Year | Commodity: A | Commodity: B | Commodity: C | |||
| Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | |
| 1996 | 5 | 10 | 8 | 6 | 6 | 3 |
| 1999 | 4 | 12 | 7 | 7 | 5 | 4 |
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उत्तर
| Commodity | 1996 (Base year) |
1999 (Current year) |
p0q0 | p0q1 | p1q0 | p1q1 | ||
| p0 | q0 | p1 | q1 | |||||
| A | 5 | 10 | 4 | 12 | 50 | 60 | 40 | 48 |
| B | 8 | 6 | 7 | 7 | 48 | 56 | 42 | 49 |
| C | 6 | 3 | 5 | 4 | 18 | 24 | 15 | 20 |
| Total | `sum"p"_0"q"_0` = 116 | `sum"p"_0"q"_1` = 140 | `sum"p"_1"q"_0` = 97 | `sum"p"_1"q"_0` = 117 | ||||
Fisher’s Index number
`"P"_01^"F" = sqrt((sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_1)/(sum"p"_0"q"_1)) xx 100`
= `sqrt(97/116 xx 117/140) xx 100`
= `sqrt(11349/16240) xx 100`
= `sqrt(0.6988) xx 100`
= `0.8359 xx 100`
= 83.59
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संबंधित प्रश्न
State with reasons whether you agree or disagree with the following statement:
Index numbers can be constructed without the base year.
Explain the features of index numbers.
Index number was originally developed to measure ______.
Define family budget method
Calculate by a suitable method, the index number of price from the following data:
| Commodity | 2002 | 2012 | ||
| Price | Quantity | Price | Quantity | |
| A | 10 | 20 | 16 | 10 |
| B | 12 | 34 | 18 | 42 |
| C | 15 | 30 | 20 | 26 |
Calculate the cost of living index by aggregate expenditure method:
| 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 |
Choose the correct alternative:
Cost of living at two different cities can be compared with the help of
Choose the correct alternative:
Which of the following Index number satisfy the time reversal test?
Assertion and reasoning question:
- Assertion (A): The index number considers all factors.
- Reasoning (R): The index number is based on samples.
State with reasons whether you agree or disagree with the following statement:
Index number measures changes in the price level only.
