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Choose the correct alternative : Marshall-Edgeworth’s Price Index Number is given by - Mathematics and Statistics

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प्रश्न

Choose the correct alternative :

Marshall-Edgeworth’s Price Index Number is given by

पर्याय

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

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

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

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

MCQ

उत्तर

Marshall-Edgeworth’s Price Index Number is given by `(sum"p"_1("q"_0 + "q"_1))/(sum"p"_0("q"_0 + "q"_1)) xx 100`.

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Construction of Index Numbers - Weighted Aggregate Method
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Index Numbers - Miscellaneous Exercise 5 [पृष्ठ ९०]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 5 Index Numbers
Miscellaneous Exercise 5 | Q 1.11 | पृष्ठ ९०

संबंधित प्रश्‍न

If ∑ p0q0 = 140, ∑ p0q1 = 200, ∑ p1q0 = 350, ∑ p1q1 = 460, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s and Marshall-Edgeworth’s Price Index Numbers.


Given that ∑ p0q0 = 220, ∑ p0q1 = 380, ∑ p1q1 = 350 and MarshallEdgeworth’s Price Index Number is 150, find Laspeyre’s Price Index Number.


Paasche’s Price Index Number is given by ______


Dorbish-Bowley’s Price Index Number is given by ______.


Choose the correct alternative :

Fisher’s Price Number is given by


Fill in the blank :

Marshall-Edgeworth’s Price Index Number is given by _______.


State whether the following is True or False :

`(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100` is Dorbish-Bowley’s Price Index Number.


State whether the following is True or False :

`(1)/(2)[sqrt((sum"p"_1"q"_0)/(sum"p"_0"q"_0)) + sqrt("p"_1"q"_1)/(sqrt("p"_0"q"_1))] xx 100` is Fisher’s Price Index Number.


State whether the following is True or False :

`sqrt(("p"_1"q"_0)/(sum"p"_0"q"_0)) xx sqrt((sum"p"_1"q"_1)/(sum"p"_0"q"_1)) xx 100` is Fisher’s Price Index Number.


Solve the following problem :

Calculate Laspeyre’s and Paasche’s Price Index Number for the following data.

Commodity Base year Current year
  Price
p0
Quantity
q0
price
p1
Quantity
q1
A 20 18 30 15
B 25 8 28 5
C 32 5 40 7
D 12 10 18 10

Solve the following problem :

Calculate Walsh’s Price Index Number for the following data.

Commodity Base year Current year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
I 8 30 12 25
II 10 42 20 16

Solve the following problem :

Calculate Laspeyre’s and Paasche’s Price Index Number for the following data.

Commodity Base Year Current Year
  Price
P0
Quantity
q0
Price
p1
Quantity
q1
I 8 30 12 25
II 10 42 20 16

Find x if Laspeyre’s Price Index Number is same as Paasche’s Price Index Number for the following data

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
A 3 x 2 5
B 4 6 3 5

Choose the correct alternative:

Dorbish–Bowley’s Price Index Number is


Marshall-Edgeworth's Price Index Number is given by ______


State whether the following statement is True or False:

`(sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100` is Paasche’s Price Index Number


Calculate Marshall-Edgeworth Price Index Number for following.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 8 20 11 15
B 7 10 12 10
C 3 30 5 25
D 2 50 4 35

Given the following table, find Walsh’s Price Index Number by completing the activity.

Commodity p0 q0 p1 q1 q0q1 `sqrt("q"_0"q"_1)` p0`sqrt("q"_0"q"_1)` p1`sqrt("q"_0"q"_1)`
I 20 9 30 4 36 `square` `square` 180
II 10 5 50 5 `square` 5 50 `square`
III 40 8 10 2 16 `square` 160 `square`
IV 30 4 20 1 `square` 2 `square` 40
Total     390 `square`

Walsh’s price Index Number is

P01(W) = `square/(sum"p"_0sqrt("q"_0"q"_1)) xx 100`

= `510/square xx 100`

= `square`


`sqrt((sump_1q_0)/(sump_0q_0)) xx sqrt((sump_1q_1)/(sump_0q_1)) xx 100`


Calculate Marshall – Edgeworth’s price index number for the following data:

Commodity Base year Current year
Price Quantity Price Quantity
P 12 20 18 24
Q 14 12 21 16
R 8 10 12 18
S 16 15 20 25

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