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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 |
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
Features of index numbers:
- It is useful in framing suitable economic policies.
- It is useful to present financial data in real terms
- Index numbers are statistical devices.
- Index numbers are specialized averages.
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Commodity | A | B | C | D | E |
Base year quantities | 170 | 150 | 100 | 195 | 205 |
Current year quantities | 90 | 70 | 75 | 150 | 95 |
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Commodities | Quantities | Prices in 2015 | Prices in 2016 |
A | 6 | 5.75 | 6.00 |
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C | 1 | 6.00 | 9.00 |
D | 6 | 8.00 | 10.00 |
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Assertion and reasoning question:
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- Reasoning (R): The index number is based on samples.