मराठी
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 2005 as base year in the following problem. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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
बेरीज

उत्तर

Vegetable Unit Price in 2005
(Base year) p0
Price
in 2012
(Current year) p1
Ladies Finger kg 32 38
Capsicum kg 30 36
Brinjal kg 40 60
Tomato kg 40 62
Potato kg 16 28
Total 158 224

From the table, ∑ p0 = 158, ∑ p1 = 224

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

`= 224/158 xx 100`

= 141.77

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Index Numbers - Exercise 5.1 [पृष्ठ ७८]

APPEARS IN

संबंधित प्रश्‍न

Laaspeyre's index : _________ :: Paasche's index : Current year quantities


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

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 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

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 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 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

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.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×