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प्रश्न
Calculate price index number for 2005 by (a) Laspeyre’s (b) Paasche’s method
| Commodity | 1995 | 2005 | ||
| Price | Quantity | Price | Quantity | |
| A | 5 | 60 | 15 | 70 |
| B | 4 | 20 | 8 | 35 |
| C | 3 | 15 | 6 | 20 |
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उत्तर
| Commodity | 1995 (Base year) |
2005 (Current year) |
p0q0 | p0q1 | p1q0 | p1q1 | ||
| p0 | q0 | p1 | q1 | |||||
| A | 5 | 60 | 15 | 70 | 300 | 350 | 900 | 1050 |
| B | 4 | 20 | 8 | 35 | 80 | 140 | 60 | 280 |
| C | 3 | 15 | 6 | 20 | 45 | 60 | 90 | 120 |
| Total | `sum"p"_0"q"_0` = 425 | `sum"p"_0"q"_0` = 550 | `sum"p"_1"q"_0` = 1150 | `sum"p"_1"q"_1` = 1450 | ||||
(a) Laspeyre’s price index number
`"P"_01^"L" = (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
= `1150/425 xx 100`
= 270.6
(b) Passche's price index
`"P"_01^"P" = (sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`
= `2230/550 xx 100`
= 405.5
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संबंधित प्रश्न
Assertion (A): Index numbers are statistical devices.
Reasoning (R): Index numbers measure only changes in the price level over a period of time.
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Explain Paasche’s price index number
Define true value ratio
Discuss about Cost of Living Index Number
Calculate Fisher’s index number to the following data. Also show that it satisfies Time Reversal Test.
| Commodity | 2016 | 2017 | ||
| Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | |
| Food | 40 | 12 | 65 | 14 |
| Fuel | 72 | 14 | 78 | 20 |
| Clothing | 36 | 10 | 36 | 15 |
| Wheat | 20 | 6 | 42 | 4 |
| Others | 46 | 8 | 52 | 6 |
Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.
| Commodity | Price | Weights | |
| 2012 | 2015 | ||
| Rice | 250 | 280 | 10 |
| Wheat | 70 | 85 | 5 |
| Corn | 150 | 170 | 6 |
| Oil | 25 | 35 | 4 |
| Dhal | 85 | 90 | 3 |
Choose the correct alternative:
Consumer price index are obtained by:
Calculate the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Interpret on the data.
| Commodities | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 170 | 562 | 72 | 632 |
| B | 192 | 535 | 70 | 756 |
| C | 195 | 639 | 95 | 926 |
| D | 1987 | 128 | 92 | 255 |
| E | 1985 | 542 | 92 | 632 |
| F | 150 | 217 | 180 | 314 |
| 7 | 12.6 | 12.7 | 12.5 | 12.8 |
| 8 | 12.4 | 12.3 | 12.6 | 12.5 |
| 9 | 12.6 | 12.5 | 12.3 | 12.6 |
| 10 | 12.1 | 12.7 | 12.5 | 12.8 |
