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Question
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 |
Solution
| Commodity | 2002 (Base year) |
2012 (Current year) |
p0q0 |
p0q1 |
p1q0 |
p1q1 |
||
| p0 | q0 | p1 | q1 | |||||
| A | 10 | 20 | 16 | 10 | 200 | 100 | 320 | 160 |
| B | 12 | 34 | 18 | 42 | 408 | 504 | 612 | 756 |
| C | 15 | 30 | 20 | 26 | 450 | 390 | 600 | 520 |
| Total | `sum"p"_0"q"_0` = 1058 | `sum"p"_0"q"_1` = 1054 | `sum"p"_1"q"_0` = 1532 | `sum"p"_1"q"_0` = 1436 | ||||
Laspeyres price index number
`"P"_01^"L" = (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
= `1532/1058 xx 100`
= 144.8
Peasche's price index number
`"P"_01^"P" = (sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`
= `1436/1054 xx 100`
= 136.24
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