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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 - Mathematics and Statistics

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प्रश्न

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
सारिणी
योग

उत्तर

Commodity Base Year
Quantities q0
Current Year
Quantities q1
I 140 100
II 120 80
III 100 70
IV 20 150
V 255 185
Tota 785 585

From the table, `sum"q"_0` = 785, `sum"q"_1` = 585

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

= `585/785 xx 100`

= 74.52

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अध्याय 2.5: Index Numbers - Q.4

संबंधित प्रश्न

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


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

Price Index Number by Weighted Aggregate Method is given by ______


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 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

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`

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`

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.


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`

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

There are many types of index numbers.


Choose the correct pair :

  Group A   Group B
1) Price Index a) `(sump_1q_1)/(sump_0q_0) xx 100`
2) Value Index b) `(sumq_1)/(sumq_0) xx 100`
3) Quantity Index c) `(sump_1q_1)/(sump_0q_1) xx 100`
4) Paasche's Index d) `(sump_1)/(sump_0) xx 100`

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