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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Find the Price Index Number using the Simple Aggregate Method in the following example. Use 2000 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 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
बेरीज

उत्तर

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) = p1p0×100

=13,3157,760×100

= 171.59

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

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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 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 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 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:

  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.

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.


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.


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