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Find the Quantity Index Number using the Simple Aggregate Method in the following example. - Mathematics and Statistics

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Question

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
Sum

Solution

Commodity Base Year Quantities q0 Current Year Quantities q1
A 360 440
B 280 320
C 340 470
D 160 210
E 260 300
Total 1400 1740

From the table, ∑ q0 = 1400, ∑ q1 = 1740

Price Index Number (Q01) = `(sum "q"_1)/(sum "q"_0) xx 100`

`= 1740/1400 xx 100`

= 124.29

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Chapter 5: Index Numbers - Exercise 5.1 [Page 78]

RELATED QUESTIONS

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

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.


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 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.

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.

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 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

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)

Explain the steps in constructing a price index number.


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