Advertisements
Advertisements
Question
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?
Advertisements
Solution
| 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.
APPEARS IN
RELATED QUESTIONS
______ : Base year prices :: P1 : Current year prices.
Complete the Correlation:
__________ : Single variable :: Composite index : Group of variables
Index number was originally developed to measure ______.
Mention the classification of Index Number
Explain factor reversal test
Define true value ratio
Discuss about Cost of Living Index Number
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 |
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 |
Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?
| Commodities | Price | Quantity | ||
| Base Year | Current Year | Base Year | Current Year | |
| Wheat | 6 | 10 | 50 | 56 |
| Ghee | 2 | 2 | 100 | 120 |
| Firewood | 4 | 6 | 60 | 60 |
| Sugar | 10 | 12 | 30 | 24 |
| Cloth | 8 | 12 | 40 | 36 |
