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प्रश्न
An Enquiry was made into the budgets of the middle class families in a city gave the following information.
| Expenditure | Food | Rent | Clothing | Fuel | Rice |
| Price(2010) | 150 | 50 | 100 | 20 | 60 |
| Price(2011) | 174 | 60 | 125 | 25 | 90 |
| Weights | 35 | 15 | 20 | 10 | 20 |
What changes in the cost of living have taken place in the middle class families of a city?
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उत्तर
| Expenditure | Base Year Price 2010 (p0) |
Current Year Price 2011 (p1) |
Weight (W) |
P = `"p"_1/"p"_0 xx 100`PW | PW |
| Food | 150 | 174 | 35 | 116 | 4060 |
| Rent | 50 | 60 | 15 | 120 | 1800 |
| Clothing | 100 | 125 | 20 | 125 | 2500 |
| Fuel | 20 | 25 | 10 | 125 | 1250 |
| Rice | 60 | 90 | 20 | 150 | 3000 |
| Total | 100 | 12610 | |||
Cost of living index number = `(sum"PW")/(sum"W")`
= `12610/100`
= 126.1
For the middle-class families of the city, the cost of living has increased up to 26.1 % in 2011 as compared to 2010.
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संबंधित प्रश्न
______ : Base year prices :: P1 : Current year prices.
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.
Mention the classification of Index Number
Define Laspeyre’s price index number
Write note on Fisher’s price index number
State the test of adequacy of index number
Discuss about Cost of Living Index Number
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 |
Calculate the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Interpret on the data.
| Commodities | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 170 | 562 | 72 | 632 |
| B | 192 | 535 | 70 | 756 |
| C | 195 | 639 | 95 | 926 |
| D | 1987 | 128 | 92 | 255 |
| E | 1985 | 542 | 92 | 632 |
| F | 150 | 217 | 180 | 314 |
| 7 | 12.6 | 12.7 | 12.5 | 12.8 |
| 8 | 12.4 | 12.3 | 12.6 | 12.5 |
| 9 | 12.6 | 12.5 | 12.3 | 12.6 |
| 10 | 12.1 | 12.7 | 12.5 | 12.8 |
