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Choose the correct alternative: The formula P01 = ∑p1q0∑p0q0×100 is for - Mathematics and Statistics

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प्रश्न

Choose the correct alternative:

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

विकल्प

  • Laspeyre’s Price Index Number

  • Paasche’s Price Index Number

  • Fisher’s Price Index Number

  • Walsh’s Price Index Number

MCQ
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उत्तर

Laspeyre’s Price Index Number 

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Construction of Index Numbers - Weighted Aggregate Method
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2.5: Index Numbers - Q.1

संबंधित प्रश्न

Find x in the following table if Laspeyre’s and Paasche’s Price Index Numbers are equal.

Commodity Base Year Current year
Price Quantity Price Quantity
A 2 10 2 5
B 2 5 x 2

Laspeyre’s Price Index Number is given by ______.


Paasche’s Price Index Number is given by ______.


Choose the correct alternative :

Fisher’s Price Number is given by


Laspeyre’s Price Index Number is given by _______.


Fill in the blank :

Paasche’s Price Index 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"_1)/("p"_0"q"_1)` is Laspeyre’s Price Index Number.


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.


`(sum"p"_0sqrt("q"_0"q"_1))/(sum"p"_1sqrt("q"_0"q"_1)) xx 100` is Walsh’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:

If find x is Walsh’s Price Index Number is 150 for the following data

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
A 5 3 10 3
B x 4 16 9
C 15 5 23 5
D 10 2 26 8

Solve the following problem :

Given that Laspeyre’s and Paasche’s Price Index Numbers are 25 and 16 respectively, find Dorbish-Bowley’s and Fisher’s Price Index Number.


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


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:

Walsh’s Price Index Number is given by `(sum"p"_1sqrt("q"_0"q"_1))/(sum"p"_0sqrt("q"_0"q"_1)) xx 100`


State whether the following statement is True or False:

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


Calculate
a) Laspeyre’s
b) Passche’s
c) Dorbish-Bowley’s Price Index Numbers for following data.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 10 9 50 8
B 20 5 60 4
C 30 7 70 3
D 40 8 80 2

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


Given P01(M-E) = 120, `sum"p"_1"q"_1` = 300, `sum"p"_0"q"_0` = 120, `sum"p"_0"q"_1` = 320, Find P01(L)


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)


State whether the following statement is true or false:

Dorbish-Bowley's Price Index Number is the square root of the product of Laspeyre's and Paasche's Index Numbers.


Laspeyre’s Price Index Number uses current year’s quantities as weights.


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