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Find the Price Index Number using the Simple Aggregate Method in the following example. Use 1990 as base year in the following problem. - Mathematics and Statistics

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प्रश्न

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
योग

उत्तर

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
Total 366 468

From the table, ∑ p0 = 366, ∑ p1 = 468

Price Index Number (P01) = `(sum "p"_1)/(sum "p"_0) xx 100`

`= 468/366 xx 100`

= 127.87

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अध्याय 5: Index Numbers - Exercise 5.1 [पृष्ठ ७७]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 5 Index Numbers
Exercise 5.1 | Q 1.05 | पृष्ठ ७७

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

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

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.

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 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 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

Statements related to weighted index number:

  1. Suitable weights are assigned to various commodities.
  2. It gives relative importance to the commodity in the group.
  3. In most cases, quantities are used as weights.
  4. Laaspeyre’s Price index and Paasche’s Price Index are methods of constructing weighted index number.

State with reason whether you agree or disagree with the following statement:

Any year can be selected as the base year


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 = ?
  1. Complete the above table (1m)
  2. Construct Price Index number from the above data (3m)

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.


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