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प्रश्न
Find the Price Index Number using the Simple Aggregate Method in the following example.
Assume 2000 to be base year in the following problem.
| Fruit | Unit | Price (in ₹) in 2000 |
Price (in ₹) for 2007 |
| Mango | doz | 250 | 300 |
| Banana | doz | 12 | 24 |
| Apple | kg | 80 | 110 |
| Peach | kg | 75 | 90 |
| Orange | doz | 36 | 65 |
| Sweet Lime | doz | 30 | 45 |
उत्तर
| Fruit | Unit | Price in 2000 (Base year) p0 |
Price in 2007 (current year) p1 |
| Mango | doz | 250 | 300 |
| Banana | doz | 12 | 24 |
| Apple | kg | 80 | 110 |
| Peach | kg | 75 | 90 |
| Orange | doz | 36 | 65 |
| Sweet Lime | doz | 30 | 45 |
| Total | 483 | 634 | |
From the table, ∑ p0 = 483, ∑ p1 = 634
Price Index Number (P01) = `(sum "p"_1)/(sum "p"_0) xx 100`
`= 634/483 xx 100`
= 131.26
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संबंधित प्रश्न
Laaspeyre's index : _________ :: Paasche's index : Current year quantities
Solve the following:
Calculate Value Index number from the given data:
| Commodity | Base year | Current year | ||
| Price | Quantity | Price | Quantity | |
| A | 40 | 15 | 70 | 20 |
| B | 10 | 12 | 60 | 22 |
| C | 50 | 10 | 90 | 18 |
| D | 20 | 14 | 100 | 16 |
| E | 30 | 13 | 40 | 15 |
Calculate Laaspeyre's index from the given data:
| Commodity | Base year | Current year | ||
| Price | Quantity | Price | Quantity | |
| X | 8 | 30 | 12 | 25 |
| Y | 10 | 42 | 20 | 16 |
Find the Price Index Number using Simple Aggregate Method in the following example.
Use 1995 as base year in the following problem.
| Commodity | P | Q | R | S | T |
| Price (in ₹) in 1995 | 15 | 20 | 24 | 23 | 28 |
| Price (in ₹) in 2000 | 27 | 38 | 32 | 40 | 45 |
Find the Price Index Number using Simple Aggregate Method in the following example.
Use 1995 as base year in the following problem.
| Commodity | A | B | C | D | E |
| Price (in ₹) in 1995 | 42 | 30 | 54 | 70 | 120 |
| Price (in ₹) in 2005 | 60 | 55 | 74 | 110 | 140 |
Find the Price Index Number using Simple Aggregate Method in the following example.
| Commodity | Unit | Base Year Price (in ₹) | Current Year Price (in ₹) |
| Wheat | kg | 28 | 36 |
| Rice | kg | 40 | 56 |
| Milk | litre | 35 | 45 |
| Clothing | meter | 82 | 104 |
| Fuel | litre | 58 | 72 |
Find the Quantity Index Number using the Simple Aggregate Method in the following example.
| Commodity | I | II | III | IV | V |
| Base Year Quantities | 140 | 120 | 100 | 200 | 225 |
| Current Year Quantities | 100 | 80 | 70 | 150 | 185 |
Find the Quantity Index Number using the Simple Aggregate Method in the following example.
| Commodity | A | B | C | D | E |
| Base Year Quantities | 360 | 280 | 340 | 160 | 260 |
| Current Year Quantities | 440 | 320 | 470 | 210 | 300 |
Find the Value Index Number using Simple Aggregate Method in the following example.
| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 30 | 22 | 40 | 18 |
| B | 40 | 16 | 60 | 12 |
| C | 10 | 38 | 15 | 24 |
| D | 50 | 12 | 60 | 16 |
| E | 20 | 28 | 25 | 36 |
Find the Value Index Number using Simple Aggregate Method in the following example.
| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 50 | 22 | 70 | 14 |
| B | 70 | 16 | 90 | 22 |
| C | 60 | 18 | 105 | 14 |
| D | 120 | 12 | 140 | 15 |
| E | 100 | 22 | 155 | 28 |
Find x if the Price Index Number by Simple Aggregate Method is 125.
| Commodity | P | Q | R | S | T |
| Base Year Price (in ₹) | 8 | 12 | 16 | 22 | 18 |
| Current Year Price (in ₹) |
12 | 18 | x | 28 | 22 |
Find x if the Price Index Number by Simple Aggregate Method is 120, taking 1995 as base year.
| Commodity | A | B | C | D |
| Price (in ₹) for 1995 | 95 | y | 80 | 35 |
| Price (in ₹) for 2003 | 116 | 74 | 92 | 42 |
Statements related to weighted index number:
- Suitable weights are assigned to various commodities.
- It gives relative importance to the commodity in the group.
- In most cases, quantities are used as weights.
- Laaspeyre’s Price index and Paasche’s Price Index are methods of constructing weighted index number.
Find the odd word
Steps involved in the construction of index number -
Assertion (A): Generally, arithmetic mean is used in the construction of index numbers.
Reasoning (R): Arithmetic mean is simple to compute compared to other averages.
State with reason whether you agree or disagree with the following statement:
Any year can be selected as the base year
State with reasons whether you agree or disagree with the following statement:
It is not essential to decide the purpose of an index number while constructing it.
