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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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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
Sum

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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Chapter 5: Index Numbers - Exercise 5.1 [Page 77]

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.


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