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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 ______.

Options

  • `sum("q"_1"w")/("q"_0"w") xx 100`

  • `sum("q"_0"w")/("q"_1"w") xx 100`

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

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

MCQ
Fill in the Blanks

Solution

Quantity Index Number by Weighted Aggregate Method is given by `bbunderline((sum"q"_1"w")/(sum"q"_0"w") xx 100)`.

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Chapter 5: Index Numbers - Miscellaneous Exercise 5 [Page 89]

RELATED QUESTIONS

Complete the Correlation:

Price Index : Inflation :: ______ : Agricultural production


Distinguish between:

Price Index and Quantity Index.


Choose the correct alternative :

Quantity Index Number by Simple Aggregate Method is given by


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 :

Value 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.


`sum ("p"_0"q"_0)/("p"_1"q"_1) xx 100` is Value 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

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


Price Index Number by Weighted Aggregate Method is given by ______


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 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

Choose the correct pair:

Group A Group B
A. Price Index (a) `(sump_1q_1)/(sump_0q_0) xx 100`
B. Value Index (b) `(sumq_1)/(sumq_0) xx 100`
C. Quantity Index (c) `(sump_1q_1)/(sump_0q_1) xx 100`
D. Paasche's Index (d) `(sump_1)/(sump_0) xx 100`

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`

Choose the correct pair:

Group A Group B
1) Price Index a) `(sump_1q_1)/(sump_0 q_0) × 100`
2) Value Index b) `(sumq_1)/(sumq_0) × 100`
3) Quantity Index c) `(sump_1q_1)/(sump_0 q_1) × 100`
4) Paasche's Index d) `(sump_1)/(sump_0) × 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.


Identify and explain the concept from the given illustration:

Mihir prepared the share 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.


State with reasons whether you agree or disagree with the following statement.

There are many types of index numbers.


Observe the following table and answer the questions given below it:

Commodities Prices in 2006 (in ₹) (Base Year) P0 Prices in 2006 (in ₹) (Current Year) P1
A 20 30
B 30 45
C 40 60
D 50 75
E 60 90

Questions:

  1. Write the formula for calculation of price index.
  2. Find the value of ∑P0 and ∑P1.
  3. Find the price index P01.

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