Advertisements
Advertisements
Question
Calculate the cost of living index by aggregate expenditure method:
| Commodity | Weight 2010 |
Price (Rs.) | |
| 2010 | 2015 | ||
| P | 80 | 22 | 25 |
| Q | 30 | 30 | 45 |
| R | 25 | 42 | 50 |
| S | 40 | 25 | 35 |
| T | 50 | 36 | 52 |
Advertisements
Solution
| Commodity | Price (Rs.) | Weights (V) |
P = `"p"_1/"p"_0 xx 100` | PV | |
| 2010 (p0) |
2015 (p1) |
||||
| P | 22 | 25 | 80 | 113.63 | 9090.4 |
| Q | 30 | 45 | 30 | 150 | 4500 |
| R | 42 | 50 | 25 | 119.05 | 2976.25 |
| S | 25 | 35 | 40 | 140 | 5600 |
| T | 36 | 52 | 50 | 144.44 | 7222 |
| Total | `sum"V"` = 225 | `sum"PV"` = 29388.65 | |||
Cost of living index number = `(sum"PV")/(sum"V")`
= `29388.65/225`
= 130.62
APPEARS IN
RELATED QUESTIONS
Complete the Correlation:
__________ : Single variable :: Composite index : Group of variables
State with reasons whether you agree or disagree with the following statement:
Index numbers can be constructed without the base year.
Features of index numbers:
- It is useful in framing suitable economic policies.
- It is useful to present financial data in real terms
- Index numbers are statistical devices.
- Index numbers are specialized averages.
Device that measures changes in an economic variable or a group of variables over a period of time –
Index number which is computed from a single variable called is a ______.
Define Index Number
Define true value ratio
State the uses of cost of Living Index Number
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 |
Complete the correlation:
P0 : ______ : : P1 : Current year price.
