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Question
Compute the consumer price index for 2015 on the basis of 2014 from the following data.
| Commodities | Quantities | Prices in 2015 | Prices in 2016 |
| A | 6 | 5.75 | 6.00 |
| B | 6 | 5.00 | 8.00 |
| C | 1 | 6.00 | 9.00 |
| D | 6 | 8.00 | 10.00 |
| E | 4 | 2.00 | 1.50 |
| F | 1 | 20.00 | 15.00 |
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Solution
| Commodities | Quantities (q0) |
Prices in 2015 (p0) |
Prices in 2016 (p1) |
p0q0 | p1q0 |
| A | 6 | 5.75 | 6.00 | 34.50 | 36.00 |
| B | 6 | 5.00 | 8.00 | 30.00 | 48.00 |
| C | 1 | 6.00 | 9.00 | 6.00 | 9.00 |
| D | 6 | 8.00 | 10.00 | 48.00 | 60.00 |
| E | 4 | 2.00 | 1.50 | 8.00 | 6.00 |
| F | 1 | 20.00 | 15.00 | 20.00 | 15.00 |
| Total | 146.50 | 174.00 | |||
Consumer price index = `(sum"p"_0"q"_1)/(sum"p"_0"q"_0) xx 100`
= `174.00/146.50 xx 100`
= 118.77
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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 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 |
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 |
Choose the correct alternative:
Which of the following Index number satisfy the time reversal test?
Assertion and reasoning question:
- Assertion (A): The index number considers all factors.
- Reasoning (R): The index number is based on samples.
