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State whether the following statement is True or False: The three types of Index numbers arei. Price Index Numberii. Quantity Index Numberiii. Value Index Number - Mathematics and Statistics

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Question

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

Options

  • True

  • False

MCQ
True or False

Solution

True

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Chapter 2.5: Index Numbers - Q.3

RELATED QUESTIONS

Distinguish between:

Price Index and Quantity Index.


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


Choose the correct alternative :

Value Index Number by Weighted Aggregate Method is given by


Fill in the blank :

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


Solve the following problem :

Find the Price Index Number using Simple Aggregate Method. Consider 1980 as base year.

Commodity Price in 1980 (in ₹) Price in 1985 (in ₹)
I 22 46
II 38 36
III 20 28
IV 18 44
V 12 16

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

State whether the following statement is True or False:

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


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


Calculate Value Index Number for the following using Simple Aggregate Method

Commodity Base Year Current Year
Price Quantity Price  Quantity
A 30 13 40 15
B 40 15 70 20
C 10 12 60 22
D 50 10 90 18
E 20 14 100 16

Calculate Quantity Index Number using Simple Aggregate method

Commodity I II III IV V
Base year Quantity 140 120 100 200 225
Current year Quantity 100 80 70 150 185

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 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`

Give an economic term:

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


Identify and explain the concept from the given illustration:

Mihir prepared the share price index number.


Explain the meaning of the Price Index Number.


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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