Worked Examples · Example 6
Q.
Following table shows the data on energy consumption and expenditure at Badarpur Thermal Power Station, in Delhi region. Construct an aggregative price index for the energy expenditures in year 2015 using
i) Laspeyres' index
ii) Paasche index.
| Sector | Quantity (weights) Year 1987 | Quantity (weights) Year 2015 | Unit Price (₹/kWh) Year 1987 | Unit Price (₹/kWh) Year 2015 |
|---|---|---|---|---|
| Commercial | 5416 | 6015 | 1.97 | 10.92 |
| Residential | 15293 | 20262 | 2.32 | 6.16 |
| Industrial | 21287 | 17832 | 0.79 | 5.13 |
| Agriculture | 9473 | 8804 | 2.25 | 8.10 |
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Start your 14-day free trial to unlock the full solution →Energy prices rose roughly four-fold from 1987 to 2015: Laspeyres' index (base-year weights) and Paasche index (current-year weights) .
Laspeyres' price index (uses base-year quantities ); Paasche price index (uses current-year quantities ), where = prices in 1987 and 2015, = quantities in 1987 and 2015.
- Build the working table ( in ₹/kWh, in weight units).
| Sector | ||||||||
|---|---|---|---|---|---|---|---|---|
| Commercial | 5416 | 6015 | 1.97 | 10.92 | 59142.72 | 10669.52 | 65683.80 | 11849.55 |
| Residential | 15293 | 20262 | 2.32 | 6.16 | 94204.88 | 35479.76 | 124813.92 | 47007.84 |
| Industrial | 21287 | 17832 | 0.79 | 5.13 | 109202.31 | 16816.73 | 91478.16 | 14087.28 |
| Agriculture | 9473 | 8804 | 2.25 | 8.10 | 76731.30 | 21314.25 | 71312.40 | 19809.00 |
| Total |
- Column sums. , , , . …
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