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प्रश्न
State with reasons whether you agree or disagree with the following statement.
There are many types of index numbers.
पर्याय
Agree
Disagree
उत्तर
I agree with the given statement.
Explanation:
There are indeed many types of index numbers. Index numbers are statistical tools used to measure changes in a variable or group of variables over time.
- Price Index Number: It measures the general changes in the prices of goods. It compares the level of prices between two different time periods.
- Quantity Index Number: It is also called volume index number. It measures changes in the level of output or physical volume of production in the economy, such as changes in agricultural production, industrial production, etc., over a period of time.
- Value Index Number: The value of a commodity is the product of its price and quantity (p × q). Value index number measures the changes in the value of a variable in terms of rupee. It is a more informative index as it combines both, changes in the price as well as quantity.
- Special Purpose Index Number: These numbers are constructed with a specific purpose, such as import-export index numbers, labour productivity index numbers, share price index numbers, etc.
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संबंधित प्रश्न
Distinguish between:
Price Index and Quantity Index.
Choose the correct alternative :
Price 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 :
Value 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 |
Explain the types of index numbers.
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:
`sum("q"_1)/("q"_0) xx 100` is the Quantity Index Number by Simple Aggregate Method
State whether the following statement is True or False:
`sum ("P"_1"q"_1)/("p"_0"q"_0) xx 100` is the Value Index Number by Simple Aggregate Method
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 |
Choose the correct pair:
| Group A | Group B |
| A. Price Index | (a) `(sump_1q_1)/(sump_0q_0) xx 100` |
| B. Value Index | (b) `(sumq_1)/(sumq_0) xx 100` |
| C. Quantity Index | (c) `(sump_1q_1)/(sump_0q_1) xx 100` |
| D. Paasche's Index | (d) `(sump_1)/(sump_0) xx 100` |
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` |
Choose the correct pair:
| Group A | Group B |
| 1) Price Index | a) `(sump_1q_1)/(sump_0 q_0) × 100` |
| 2) Value Index | b) `(sumq_1)/(sumq_0) × 100` |
| 3) Quantity Index | c) `(sump_1q_1)/(sump_0 q_1) × 100` |
| 4) Paasche's Index | d) `(sump_1)/(sump_0) × 100` |
Calculate the price index number for the given data.
| Commodity | A | B |
| Price in 2020 (₹) | 20 | 30 |
| Price in 2021 (₹) | 40 | 40 |
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` |
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` |
