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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 - Mathematics and Statistics

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प्रश्न

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
सारिणी
योग

उत्तर

Commodity Price in 2005 (in ₹)
(Base year) p0
Price in 2015(in ₹)
(Current year p1)
P 10 32
Q 25 40
R 14 20
S 20 45
T 30 70
Total 99 207

From the table `sum"p"_0` = 99, `sum"p"_1` = 207

Price Index Number (P01) = `(sum"p"_1)/(sum"p"_0) xx 100`

= `207/99 xx 100`

= 209.09

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अध्याय 2.5: Index Numbers - Q.4

संबंधित प्रश्न

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 _______.


`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

Choose the correct alternative:

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


Quantity 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


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 x if the Price Index Number by Simple Aggregate Method is 125

Commodity P Q R S T
Base Year Price (in ₹) 10 8 12 24 18
Current Year Price (in ₹) 14 10 x 28 22

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

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`

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.


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) `(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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