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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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Discuss about Cost of Living Index Number
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 |
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 |
Assertion and reasoning question:
- Assertion (A): The index number considers all factors.
- Reasoning (R): The index number is based on samples.
Explain the meaning of index number.
State with reasons whether you agree or disagree with the following statement:
Index number measures changes in the price level only.
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) xx 100` |
| 3) | Quantity Index | c) | `(sump_1q_1)/(sump_0q_1) xx100` |
| 4) | Paasche's Index | d) | `(sump_1)/(sump_0) xx 100` |
