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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
Construct Quantity index number from the given data:
| Commodity | A | B | C | D | E |
| Base year quantities | 170 | 150 | 100 | 195 | 205 |
| Current year quantities | 90 | 70 | 75 | 150 | 95 |
Define Index Number
State the uses of Index Number
Explain Paasche’s price index number
Write note on Fisher’s price index number
Define Time Reversal Test
Using the following data, construct Fisher’s Ideal index and show how it satisfies Factor Reversal Test and Time Reversal Test?
| 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 |
| D | 10 | 12 | 50 | 24 |
| E | 8 | 12 | 40 | 36 |
The following are the group index numbers and the group weights of an average working class family’s budget. Construct the cost of living index number:
| Groups | Food | Fuel and Lighting |
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) xx 100` |
| 3) | Quantity Index | c) | `(sump_1q_1)/(sump_0q_1) xx100` |
| 4) | Paasche's Index | d) | `(sump_1)/(sump_0) xx 100` |
Find the odd word out:
Features of Index Number:
