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प्रश्न
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 |
उत्तर
| Commodity | Price in 1995 (Base year) p0 |
Price in 2000 (Current year)p1 |
| P | 15 | 27 |
| Q | 20 | 38 |
| R | 24 | 32 |
| S | 23 | 40 |
| T | 28 | 45 |
| Total | 110 | 182 |
From the table, ∑ p0 = 110, ∑ p1 = 182
Price Index Number (P01) = `(sum "p"_1)/(sum "p"_0) xx 100`
`= 182/110 xx 100`
= 165.45
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संबंधित प्रश्न
Laaspeyre's index : _________ :: Paasche's index : Current year quantities
Calculate the price index number from the given data:
| Commodity | A | B | C | D |
| Price in 2005 (₹) | 6 | 16 | 24 | 4 |
| Price in 2010 (₹) | 8 | 18 | 28 | 6 |
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 |
Solve the following:
Calculate Paasche'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 |
Explain the steps involved in the construction of index numbers.
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 Price Index Number using the Simple Aggregate Method in the following example.
Use 1990 as base year in the following problem.
| Commodity | Unit | Price (in ₹) for year 2000 |
Price (in ₹) for year 2006 |
| Butter | kg | 27 | 33 |
| Cheese | kg | 30 | 36 |
| Milk | litre | 25 | 29 |
| Bread | loaf | 10 | 14 |
| Eggs | doz | 24 | 36 |
| Ghee | tin | 250 | 320 |
Find the Price Index Number using the Simple Aggregate Method in the following example.
Use 2005 as base year in the following problem.
| Vegetable | Unit | Price (in ₹) in 2005 |
Price (in ₹) for 2012 |
| Ladies Finger | kg | 32 | 38 |
| Capsicum | kg | 30 | 36 |
| Brinjal | kg | 40 | 60 |
| Tomato | kg | 40 | 62 |
| Potato | kg | 16 | 28 |
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 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.
Study the following table, figure, passage and answer the question given below it.
| Commodities | Price in 2015 in Rs (base year) P0 |
Price in 2019 in Rs. (current year) P1 |
| L | 20 | 30 |
| M | 60 | 80 |
| N | 100 | 130 |
| O | 40 | 60 |
| Total | ∑P0 = ? | ∑P1 = ? |
- Complete the above table (1m)
- Construct Price Index number from the above data (3m)
Explain the steps in constructing a price index number.
