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Question
Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.
| Commodity | Price | Weights | |
| 2012 | 2015 | ||
| Rice | 250 | 280 | 10 |
| Wheat | 70 | 85 | 5 |
| Corn | 150 | 170 | 6 |
| Oil | 25 | 35 | 4 |
| Dhal | 85 | 90 | 3 |
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Solution
| Commodity | Price | Weights (V) |
P = `"p"_1/"p"_0 xx 100` | PV | |
| 2012 (p0) |
2015 (p1) |
||||
| Rice | 250 | 280 | 10 | 112 | 1120 |
| Wheat | 70 | 85 | 5 | 121.43 | 607.15 |
| Corn | 150 | 170 | 6 | 113.33 | 679.98 |
| Oil | 25 | 35 | 4 | 140 | 560 |
| Dhal | 85 | 90 | 3 | 105.88 | 317.64 |
| Total | `sum"V"` = 28 | `sum"PV"` = 3284.77 | |||
Cost of living index number = `(sum"PV")/(sum"V")`
= `3284.77/28`
= 117.31
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RELATED QUESTIONS
Statements that are incorrect in relation to index numbers:
- An index number is a geographical tool.
- Index numbers measure changes in air pressure.
- Index numbers measure relative changes in an economic variable.
- Index numbers are specialized averages.
State with reasons whether you agree or disagree with the following statement:
Index numbers can be constructed without the base year.
Assertion (A): Index numbers are statistical devices.
Reasoning (R): Index numbers measure only changes in the price level over a period of time.
Identify & explain the concept from the given illustration.
Agricultural Research Institute constructed an index number to measure changes in the production of raw cotton in Maharashtra during the period 2015-2020.
State the test of adequacy of index number
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 |
Calculate Fisher’s index number to the following data. Also show that it satisfies Time Reversal Test.
| Commodity | 2016 | 2017 | ||
| Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | |
| Food | 40 | 12 | 65 | 14 |
| Fuel | 72 | 14 | 78 | 20 |
| Clothing | 36 | 10 | 36 | 15 |
| Wheat | 20 | 6 | 42 | 4 |
| Others | 46 | 8 | 52 | 6 |
Choose the correct alternative:
Most commonly used index number is:
Explain the meaning of index number.
State with reasons whether you agree or disagree with the following statement:
Index number measures changes in the price level only.
