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Question
Assertion (A): Index numbers are statistical devices.
Reasoning (R): Index numbers measure only changes in the price level over a period of time.
Options
(A) is True but (R) is False.
(A) is False but (R) is True.
Both (A) and (R) are True and (R) is the correct explanation of (A).
Both (A) and (R) are True and (R) is not the correct explanation of (A).
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Solution
(A) is True but (R) is False.
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Statements that are incorrect in relation to index numbers:
- An index number is a geographical tool.
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______ : Base year prices :: P1 : Current year prices.
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.
Explain the features of index numbers.
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 –
Index number which is computed from a single variable called is a ______.
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.
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 Index Number
State the uses of Index Number
Mention the classification of Index Number
Write note on Fisher’s price index number
Explain factor reversal test
Define true value ratio
Discuss about Cost of Living Index Number
Define family budget method
State the uses of cost of Living Index Number
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 |
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 |
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:
Another name of consumer’s price index number is:
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:
Which of the following Index number satisfy the time reversal test?
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 |
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?
Explain the meaning of index number.
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 ______.
Complete the correlation:
P0 : ______ : : P1 : Current year price.
