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Quantity Index Number by Weighted Aggregate Method is given by ______. - Mathematics and Statistics

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Question

Quantity Index Number by Weighted Aggregate Method is given by ______.

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Solution

Quantity Index Number by Weighted Aggregate Method is given by `bbunderline((sumq_1w)/(sumq_0w) xx 100)`.

Explanation:

The Quantity Index Number by the Weighted Aggregate Method is given by Q1 = `((sumq_1w)/(sumq_0w) xx 100)` where quantities are weighted to reflect their relative importance.

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Chapter 2.5: Index Numbers - Q.2

RELATED QUESTIONS

Choose the correct alternative :

Value Index Number by Weighted Aggregate Method is given by


Fill in the blank :

Price Index Number by Simple Aggregate Method is given by _______.


Fill in the blank :

Quantity Index Number by Simple Aggregate Method is given by _______.


Fill in the blank :

Value Index Number by Simple Aggregate Method is given by _______.


Fill in the blank :

Quantity Index Number by Weighted Aggregate Method is given by _______.


State whether the following is True or False :

`(sum"p"_1)/(sum"p"_0) xx 100` is the price Index Number by Simple Aggregate Method.


Solve the following problem :

Find the Quantity Index Number using Simple Aggregate Method.

Commodity Base year quantity Current year quantity
A 100 130
B 170 200
C 210 250
D 90 110
E 50 150

Solve the following problem :

Find the Value Index Number using Simple Aggregate Method.

Commodity Base Year Current Year
  Price Quantity Price Quantity
I 20 42 22 45
II 35 60 40 58
III 50 22 55 24
IV 60 56 70 62
V 25 40 30 41

Explain the types of index numbers.


Choose the correct alternative:

`(sum"p"_1"q"_1"w")/(sum"p"_0"q"_0"w") xx 100` gives


State whether the following statement is True or False:

The three types of Index numbers are
i. Price Index Number
ii. Quantity Index Number
iii. Value Index Number


State whether the following statement is True or False:

`sum ("P"_1"q"_1)/("p"_0"q"_0) xx 100` is the Value Index Number by Simple Aggregate Method


Find Price Index Number using Simple Aggregate method by taking 2005 as base year.

Commodity P Q R S T
Price in 2005 (in ₹) 10 25 14 20 30
Price in 2015 (in ₹) 32 40 20 45 70

Find Price Index Number using Simple Aggregate method by taking 2000 as base year

Commodity Price (in ₹) for
year 2000
Price (in ₹) for
year 2007
Watch 900 1,475
Shoes 1,760 2,300
Sunglasses 60 1,040
Mobile 4,500 8,500

Find values x and y if the Price Index Number by Simple Aggregate Method by taking 2001 as base year is 120, given `sum"p"_1` = 300.

Commodity A B C D
Price (in ₹) in 2001 90 x 90 30
Price (in ₹) in 2004 95 60 y 35

Find x from following data if the Value Index Number is 200.

Commodity Base Year Current Year
Prive Quantity Price Quantity
A 10 10 20 10
B 8 20 22 15
C 2 x 8 10
D 9 10 16 10
E 5 6 3 10

The Price Index Number for year 2004, with respect to year 2000 as base year. is known to be 130. Find the missing numbers in the following table if ∑p0 = 320

Commodity A B C D E F
Price (in ₹) in 2000 40 50 30 x 60 100
Price (in ₹) in 2000 50 70 30 85 y 115

Choose the correct pair :

Group A Group B
1) Price Index a) `(sum p_1q_1)/(sum p_0q_0) xx 100`
2) Value Index b) `(sum q_1)/(sum q_0) xx 100`
3) Quantity Index c) `(sum p_1q_1)/(sum p_0 q_1) xx 100`
4) Paasche's Index d) `(sum p_1)/(sum p_0) xx 100`

Calculate the price index number for the given data.

Commodity A B
Price in 2020 (₹) 20 30
Price in 2021 (₹) 40 40

State with reason whether you agree or disagree with the following statement:

The quantity index number is one type of index number.


Give an economic term:

An index number measuring the general changes in the prices of goods over a period of time.


Explain the meaning of the Price Index Number.


Identify and explain the concept from the given illustration:

Pooja collected information regarding a change in the quantity of imports of India from 2019 to 2020 and prepared an index number.


Choose the correct pair :

Group A Group B
1) Price Index a)

`(sump1q1)/(sump0q0)xx100`

2) Value Index b) `(sumq1)/(sumq0)xx100`
3) Quantity Index c) `(sump1q1)/(sump0q1)xx100`
4) Paasche's Index d) `(sump1)/(sump0)xx100`

Choose the correct pair:

  Group A   Group B
1) Price Index a) `(sum"p"_1"q"_1)/(sum"p"_0"q"_0)xx100`
2) Value Index b) `(sum"q"_1)/(sumq"_0)xx100`
3) Quantity Index c) `(sum"p"_1"q"_1)/(sum"p"_0"q"_1)xx100`
4) Paasche's Index d) `(sum"p"_1)/(sum"p"_0")xx100`

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