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State whether the following statement is True or False: Pqpq∑P1q1p0q0×100 is the Value Index Number by Simple Aggregate Method - Mathematics and Statistics

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Question

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

Options

  • True

  • False

MCQ
True or False

Solution

False

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Chapter 2.5: Index Numbers - Q.3

RELATED QUESTIONS

Distinguish between:

Price Index and Quantity Index.


Choose the correct alternative :

Quantity Index Number by Simple Aggregate Method is given by


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


`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 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

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


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

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) `(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`

Identify and explain the concept from the given illustration:

Mihir prepared the share price index number.


Explain the meaning of the Price Index Number.


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