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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?
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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.
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RELATED QUESTIONS
Index number was originally developed to measure ______.
Index number which is computed from a single variable called is a ______.
Construct Quantity index number from the given data:
| Commodity | A | B | C | D | E |
| Base year quantities | 170 | 150 | 100 | 195 | 205 |
| Current year quantities | 90 | 70 | 75 | 150 | 95 |
Define true value ratio
Discuss about 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 |
Choose the correct pair.
| Group A | Group B |
| 1) Price Index | a) `(sump_1q_1)/(sump_0q_0)xx100` |
| 2) Value Index | b) `(sumq_1)/(sumq_0)xx100` |
| 3) Quantity Index | c) `(sump_1q_1)/(sump_0q_1)xx100` |
| 4) Paasche's Index | d) `(sump_1)/(sump_0)xx100` |
The base year's index of a selected variable is assumed as ______.
Find the odd word out:
Features of Index Number:
Complete the correlation:
P0 : ______ : : P1 : Current year price.
