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प्रश्न
State with reasons whether you agree or disagree with the following statement:
Index numbers can be constructed without the base year.
पर्याय
Agree
Disagree
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उत्तर
I Disagree with this statement.
Reasons:
- Index numbers calculate changes in an economic variable from the previous year to the current year. In the past, this year was referred to as the base year.
- The base year for the index number calculation is the typical year from the past. The base year ought to be typical, meaning that there ought to be no natural disasters, hostilities, crises, etc. In the same way, it shouldn't have happened too long ago.
- The suffix "o" indicates it when creating index numbers with respect to the base year. For a given variable, the index of the base year is taken to be 100. The previous year's index numbers are used to calculate the current year's figures.
Thus, index numbers cannot be constructed without the base year.
संबंधित प्रश्न
Statements that are incorrect in relation to index numbers:
- An index number is a geographical tool.
- Index numbers measure changes in air pressure.
- Index numbers measure relative changes in an economic variable.
- Index numbers are specialized averages.
State with reason whether you agree or disagree with the following statement:
Index numbers measure changes in the price level only.
Explain the features of index numbers.
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.
Index numbers that measure changes in the level of output or physical volume of production in the economy −
Device that measures changes in an economic variable or a group of variables over a period of time –
Find the odd word
Types of index numbers -
Index number was originally developed to measure ______.
Index number which is computed from a single variable called is a ______.
Assertion (A): Index numbers are statistical devices.
Reasoning (R): Index numbers measure only changes in the price level over a period of time.
Identify & explain the concept from the given illustration.
Bombay Stock Exchange has developed “Sensex” as a stock market index for reflecting the share prices of listed companies.
Identify & explain the concept from the given illustration.
Agricultural Research Institute constructed an index number to measure changes in the production of raw cotton in Maharashtra during the period 2015-2020.
State the uses of Index Number
Mention the classification of Index Number
Write note on Fisher’s price index number
State the test of adequacy of index number
Explain factor reversal test
Define true value ratio
Discuss about Cost of Living Index Number
Define family budget method
Calculate by a suitable method, the index number of price from the following data:
| Commodity | 2002 | 2012 | ||
| Price | Quantity | Price | Quantity | |
| A | 10 | 20 | 16 | 10 |
| B | 12 | 34 | 18 | 42 |
| C | 15 | 30 | 20 | 26 |
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 |
Using the following data, construct Fisher’s Ideal index and show how it satisfies Factor Reversal Test and Time Reversal Test?
| Commodity | Price in Rupees per unit | Number of units | ||
| Basic year | Current year | Base year | Current year | |
| A | 6 | 10 | 50 | 56 |
| B | 2 | 2 | 100 | 120 |
| C | 4 | 6 | 60 | 60 |
| D | 10 | 12 | 50 | 24 |
| E | 8 | 12 | 40 | 36 |
Using Fisher’s Ideal Formula, compute price index number for 1999 with 1996 as base year, given the following:
| Year | Commodity: A | Commodity: B | Commodity: C | |||
| Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | |
| 1996 | 5 | 10 | 8 | 6 | 6 | 3 |
| 1999 | 4 | 12 | 7 | 7 | 5 | 4 |
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 |
The following are the group index numbers and the group weights of an average working class family’s budget. Construct the cost of living index number:
| Groups | Food | Fuel and Lighting |
Clothing | Rent | Miscellaneous |
| Index Number | 2450 | 1240 | 3250 | 3750 | 4190 |
| Weight | 48 | 20 | 12 | 15 | 10 |
Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.
| Commodity | Price | Weights | |
| 2012 | 2015 | ||
| Rice | 250 | 280 | 10 |
| Wheat | 70 | 85 | 5 |
| Corn | 150 | 170 | 6 |
| Oil | 25 | 35 | 4 |
| Dhal | 85 | 90 | 3 |
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:
Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:
Choose the correct alternative:
Cost of living at two different cities can be compared with the help of
Choose the correct alternative:
Most commonly used index number is:
Choose the correct alternative:
Consumer price index are obtained by:
Choose the correct alternative:
Which of the following Index number satisfy the time reversal test?
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 |
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 |
Assertion and reasoning question:
- Assertion (A): The index number considers all factors.
- Reasoning (R): The index number is based on samples.
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)xx100` |
| 3) Quantity Index | c) `(sump_1q_1)/(sump_0q_1)xx100` |
| 4) Paasche's Index | d) `(sump_1)/(sump_0)xx100` |
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` |
The base year's index of a selected variable is assumed as ______.
Find the odd word out:
Features of Index Number:
