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प्रश्न
Explain the types of index numbers.
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उत्तर
An index number is a device to measure changes in economic variables (or groups of variables) over a period of time. The types of index numbers are as follows:
- Price Index Number: It measures the general changes in prices of goods. It compares the level of prices between two different time periods.
- Quantity Index Number: It measures changes in the level of output or physical volume of production in the economy. E.g.: changes in agricultural and industrial production, etc., over time. It is also called the volume index number.
- Value Index Number: The value of a commodity is the product of its price and quantity (p × q). Value index number measures changes in the value of a variable in terms of rupees. It is a more informative index because it combines changes in price and quantity.
- Special Purpose Index Number: They are constructed for a specific purpose. E.g.: import-export index numbers, labour productivity index numbers, share price index numbers, etc.
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संबंधित प्रश्न
Complete the Correlation:
Price Index : Inflation :: ______ : Agricultural production
Distinguish between:
Price Index and Quantity Index.
Choose the correct alternative :
Quantity Index Number by Simple Aggregate Method is given by
Quantity Index Number by Weighted Aggregate Method is given by ______.
Choose the correct alternative :
Value Index Number by Weighted Aggregate Method is given by
Fill in the blank :
Price Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Quantity Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Price Index Number by Weighted Aggregate Method is given by _______.
Fill in the blank :
Quantity Index Number by Weighted Aggregate Method is given by _______.
Fill in the blank :
Value Index Number by Weighted Aggregate Method is given by _______.
State whether the following is True or False :
`(sum"p"_1)/(sum"p"_0) xx 100` is the price Index Number by Simple Aggregate Method.
`sum ("p"_0"q"_0)/("p"_1"q"_1) xx 100` is Value Index Number by Simple Aggregate Method.
Solve the following problem :
Find the Price Index Number using Simple Aggregate Method. Consider 1980 as base year.
| Commodity | Price in 1980 (in ₹) | Price in 1985 (in ₹) |
| I | 22 | 46 |
| II | 38 | 36 |
| III | 20 | 28 |
| IV | 18 | 44 |
| V | 12 | 16 |
Solve the following problem :
Find the Quantity Index Number using Simple Aggregate Method.
| Commodity | Base year quantity | Current year quantity |
| A | 100 | 130 |
| B | 170 | 200 |
| C | 210 | 250 |
| D | 90 | 110 |
| E | 50 | 150 |
Solve the following problem :
Find the Value Index Number using Simple Aggregate Method.
| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| I | 20 | 42 | 22 | 45 |
| II | 35 | 60 | 40 | 58 |
| III | 50 | 22 | 55 | 24 |
| IV | 60 | 56 | 70 | 62 |
| V | 25 | 40 | 30 | 41 |
Quantity Index Number by Weighted Aggregate Method is given by ______.
Price Index Number by Weighted Aggregate Method is given by ______
State whether the following statement is True or False:
The three types of Index numbers are
i. Price Index Number
ii. Quantity Index Number
iii. Value Index Number
Find Price Index Number using Simple Aggregate method by taking 2005 as base year.
| Commodity | P | Q | R | S | T |
| Price in 2005 (in ₹) | 10 | 25 | 14 | 20 | 30 |
| Price in 2015 (in ₹) | 32 | 40 | 20 | 45 | 70 |
Find Quantity Index Number using Simple Aggregate method
| Commodity | A | B | C | D | E |
| Base year Quantity | 170 | 150 | 100 | 195 | 205 |
| Current year Quantity | 90 | 70 | 75 | 150 | 95 |
Calculate Value Index Number for the following using Simple Aggregate Method
| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 30 | 13 | 40 | 15 |
| B | 40 | 15 | 70 | 20 |
| C | 10 | 12 | 60 | 22 |
| D | 50 | 10 | 90 | 18 |
| E | 20 | 14 | 100 | 16 |
Calculate Quantity Index Number using Simple Aggregate method
| Commodity | I | II | III | IV | V |
| Base year Quantity | 140 | 120 | 100 | 200 | 225 |
| Current year Quantity | 100 | 80 | 70 | 150 | 185 |
Find Price Index Number using Simple Aggregate method by taking 2000 as base year
| Commodity | Price (in ₹) for year 2000 |
Price (in ₹) for year 2007 |
| Watch | 900 | 1,475 |
| Shoes | 1,760 | 2,300 |
| Sunglasses | 60 | 1,040 |
| Mobile | 4,500 | 8,500 |
Find x if the Price Index Number by Simple Aggregate Method is 125:
| Commodity | P | Q | R | S | T |
| Base Year Price (in ₹) | 10 | 8 | 12 | 24 | 18 |
| Current Year Price (in ₹) | 14 | 10 | x | 28 | 22 |
Find values x and y if the Price Index Number by Simple Aggregate Method by taking 2001 as base year is 120, given `sum"p"_1` = 300.
| Commodity | A | B | C | D |
| Price (in ₹) in 2001 | 90 | x | 90 | 30 |
| Price (in ₹) in 2004 | 95 | 60 | y | 35 |
The Price Index Number for year 2004, with respect to year 2000 as base year. is known to be 130. Find the missing numbers in the following table if ∑p0 = 320
| Commodity | A | B | C | D | E | F |
| Price (in ₹) in 2000 | 40 | 50 | 30 | x | 60 | 100 |
| Price (in ₹) in 2000 | 50 | 70 | 30 | 85 | y | 115 |
Choose the correct pair :
| Group A | Group B |
| 1) Price Index | a) `(sum p_1q_1)/(sum p_0q_0) xx 100` |
| 2) Value Index | b) `(sum q_1)/(sum q_0) xx 100` |
| 3) Quantity Index | c) `(sum p_1q_1)/(sum p_0 q_1) xx 100` |
| 4) Paasche's Index | d) `(sum p_1)/(sum p_0) xx 100` |
Calculate the price index number for the given data.
| Commodity | A | B |
| Price in 2020 (₹) | 20 | 30 |
| Price in 2021 (₹) | 40 | 40 |
State with reason whether you agree or disagree with the following statement:
The quantity index number is one type of index number.
Give an economic term:
An index number measuring the general changes in the prices of goods over a period of time.
Identify and explain the concept from the given illustration:
Mihir prepared the share price index number.
Explain the meaning of the Price Index Number.
Identify and explain the concept from the given illustration:
Pooja collected information regarding a change in the quantity of imports of India from 2019 to 2020 and prepared an index number.
Choose the correct pair :
| Group A | Group B | ||
| 1) | Price Index | a) |
`(sump1q1)/(sump0q0)xx100` |
| 2) | Value Index | b) | `(sumq1)/(sumq0)xx100` |
| 3) | Quantity Index | c) | `(sump1q1)/(sump0q1)xx100` |
| 4) | Paasche's Index | d) | `(sump1)/(sump0)xx100` |
State with reasons whether you agree or disagree with the following statement.
There are many types of index numbers.
Observe the following table and answer the questions given below it:
| Commodities | Prices in 2006 (in ₹) (Base Year) P0 | Prices in 2006 (in ₹) (Current Year) P1 |
| A | 20 | 30 |
| B | 30 | 45 |
| C | 40 | 60 |
| D | 50 | 75 |
| E | 60 | 90 |
Questions:
- Write the formula for calculation of price index.
- Find the value of ∑P0 and ∑P1.
- Find the price index P01.
Choose the correct pair :
| Group A | Group B | ||
| 1) | Price Index | a) | `(sump_1q_1)/(sump_0q_0) xx 100` |
| 2) | Value Index | b) | `(sumq_1)/(sumq_0) xx 100` |
| 3) | Quantity Index | c) | `(sump_1q_1)/(sump_0q_1) xx 100` |
| 4) | Paasche's Index | d) | `(sump_1)/(sump_0) xx 100` |
Choose the correct pair:
| Group A | Group B | ||
| 1) | Price Index | a) | `(sum"p"_1"q"_1)/(sum"p"_0"q"_0)xx100` |
| 2) | Value Index | b) | `(sum"q"_1)/(sumq"_0)xx100` |
| 3) | Quantity Index | c) | `(sum"p"_1"q"_1)/(sum"p"_0"q"_1)xx100` |
| 4) | Paasche's Index | d) | `(sum"p"_1)/(sum"p"_0")xx100` |
