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Question
Find the Price Index Number using the Simple Aggregate Method in the following example.
Use 2000 as base year in the following problem.
Commodity | Price (in ₹) for year 2000 |
Price (in ₹) for year 2006 |
Watch | 900 | 1475 |
Shoes | 1760 | 2300 |
Sunglasses | 600 | 1040 |
Mobile | 4500 | 8500 |
Solution
Commodity | Price (in ₹) for year 2000 |
Price (in ₹) for year 2006 |
Watch | 900 | 1475 |
Shoes | 1760 | 2300 |
Sunglasses | 600 | 1040 |
Mobile | 4500 | 8500 |
Total | 7760 | 13315 |
From the table, ∑ p0 = 7760, ∑ p1 = 13315
Price Index Number (P01) = `(sum "p"_1)/(sum "p"_0) xx 100`
`= (13,315)/(7,760) xx 100`
= 171.59
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RELATED QUESTIONS
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 |
Solve the following:
Calculate Quantity Index number from the given data:
Commodity | P | Q | R | S | T |
Base year quantities | 170 | 150 | 100 | 195 | 205 |
Current year quantities | 90 | 70 | 75 | 150 | 95 |
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 |
Distinguish between Laaspeyre's Index and Paasche's Index.
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.
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.
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 |
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 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 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 |
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.
Explain the steps in constructing a price index number.