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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 I II III IV V
Base Year Quantities 140 120 100 200 225
Current Year Quantities 100 80 70 150 185
Sum

Solution

Commodity Base Year Quantities q0 Current Year Quantities q1
I 140 100
II 120 80
III 100 70
IV 200 150
V 225 185
Total 785 585

From the table, ∑ q0 = 785, ∑ q1 = 585

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

`= 585/785 xx 100`

= 74.52

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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

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.


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
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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
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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

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Commodity Base Year Current Year
Price Quantity Price Quantity
A 30 22 40 18
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C 10 38 15 24
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Find the Value Index Number using Simple Aggregate Method in the following example.

Commodity Base Year Current Year
Price Quantity Price Quantity
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Find x if the Price Index Number by Simple Aggregate Method is 125.

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Base Year Price (in ₹) 8 12 16 22 18
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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


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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