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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Choose the correct alternative: Walsh's Price Index Number is given by - Mathematics and Statistics

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प्रश्न

Choose the correct alternative:

Walsh's Price Index Number is given by

पर्याय

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

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

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

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

MCQ
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उत्तर

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

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Construction of Index Numbers - Weighted Aggregate Method
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पाठ 2.5: Index Numbers - Q.1

संबंधित प्रश्‍न

If Dorbish-Bowley's and Fisher's Price Index Numbers are 5 and 4, respectively, then find Laspeyre's and Paasche's Price Index Numbers.


Choose the correct alternative :

The price Index Number by Weighted Aggregate Method is given by ______.


Laspeyre’s Price Index Number is given by ______.


Choose the correct alternative :

Marshall-Edgeworth’s Price Index Number is given by


Walsh’s Price Index Number is given by _______.


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 Marshall-Edgeworth’s Price Index Number for the following data.

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
X 12 35 15 25
Y 29 50 30 70

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

Solve the following problem :

Find x if Paasche’s Price Index Number is 140 for the following data.

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
A 20 8 40 7
B 50 10 60 10
C 40 15 60 x
D 12 15 15 15

If Laspeyre’s and Dorbish’s Price Index Numbers are 150.2 and 152.8 respectively, find Paasche’s Price Index Number.


Solve the following problem :

If `sum"p_"0"q"_0 = 120, sum "p"_0"q"_1 = 160, sum "p"_1"q"_1 = 140, and sum "p"_1"q"+0` = 200, find Laspeyre’s, Paasche’s Dorbish-Bowley’s and Marshall Edgeworth’s Price Index Number.


Solve the following problem :

Given that `sum "p"_1"q"_1 = 300, sum "p"_0"q"_1 = 320, sum "p"_0"q"_0` = 120, and Marshall- Edgeworth’s Price Index Number is 120, find `sum"p"_1"q"_0` and Paasche’s Price Index Number.


Choose the correct alternative:

The formula P01 = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100` is for


Choose the correct alternative:

Fisher’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"_0sqrt("q"_0 + "q"_1))/(sum"p"_1sqrt("q"_0 + "q"_1)) xx 100` is Marshall-Edgeworth Price Index Number


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

Commodity Base Year Current Year
Price Quantity Price Quantity
I 10 12 40 3
II 20 2 25 8
III 30 3 50 27
IV 60 9 90 36

If P01(L) = 40 and P01(P) = 90, find P01(D-B) and P01(F).


If Laspeyre’s and Paasche’s Price Index Numbers are 50 and 72 respectively, find Dorbish-Bowley’s and Fisher’s Price Index Numbers


Find the missing price if Laspeyre’s and Paasche’s Price Index Numbers are equal for following data.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 1 10 2 5
B 1 12

If `sum"p"_0"q"_0` = 150, `sum"p"_0"q"_1` = 250, `sum"p"_1"q"_1` = 375 and P01(L) = 140. Find P01(M-E)


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`


If P01 (L) = 121, P01 (P) = 100, then P01 (F) = ______.


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