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प्रश्न
Compute (i) Laspeyre’s (ii) Paasche’s (iii) Fisher’s Index numbers for the 2010 from the following data.
| Commodity | Price | Quantity | ||
| 2000 | 2010 | 2000 | 2010 | |
| A | 12 | 14 | 18 | 16 |
| B | 15 | 16 | 20 | 15 |
| C | 14 | 15 | 24 | 20 |
| D | 12 | 12 | 29 | 23 |
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उत्तर
| Commodity | 2000 (Base year) |
2010 (Current year) |
p0q0 | p0q1 | p1q0 | p1q1 | ||
| p0 | q0 | p1 | q1 | |||||
| A | 12 | 14 | 18 | 16 | 216 | 192 | 252 | 224 |
| B | 15 | 16 | 20 | 15 | 300 | 225 | 320 | 240 |
| C | 14 | 15 | 24 | 20 | 336 | 280 | 360 | 300 |
| D | 12 | 12 | 29 | 23 | 348 | 276 | 348 | 276 |
| Total | `sum"p"_0"q"_0` = 1200 | `sum"p"_0"q"_1` = 973 | `sum"p"_1"q"_0` = 1280 | `sum"p"_1"q"_1` = 1040 | ||||
(i) Laspeyre's Price Index
`"P"_01^"L" = (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
= `1280/1200 xx 100`
= 106.6
(ii) Paasche's Price Index
`"P"_01^"P" = (sum"P"_1"q"_1)/(sum"p"_0"q"_1) xx 100`
= `1040/973 xx 100`
= 106.8
(iii) Fisher’s price 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(1280/1200 xx 1040/973) xx 100`
= `sqrt((13,31,200)/(11,67,600)) xx 100`
= `sqrt(1.14) xx 100`
= 106.7
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संबंधित प्रश्न
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| 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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| Commodity | Price in Rupees per unit | Number of units | ||
| Basic year | Current year | Base year | Current year | |
| A | 6 | 10 | 50 | 56 |
| B | 2 | 2 | 100 | 120 |
| C | 4 | 6 | 60 | 60 |
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| E | 8 | 12 | 40 | 36 |
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Clothing | Rent | Miscellaneous |
| Index Number | 2450 | 1240 | 3250 | 3750 | 4190 |
| Weight | 48 | 20 | 12 | 15 | 10 |
Choose the correct pair.
| Group A | Group B |
| 1) Price Index | a) `(sump_1q_1)/(sump_0q_0)xx100` |
| 2) Value Index | b) `(sumq_1)/(sumq_0)xx100` |
| 3) Quantity Index | c) `(sump_1q_1)/(sump_0q_1)xx100` |
| 4) Paasche's Index | d) `(sump_1)/(sump_0)xx100` |
