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

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प्रश्न

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

योग

उत्तर

Given, P01(L) = 40 and P01(P) = 90

Dorbish-Bowley’s Price Index Number

P01(D-B) = `("P"_01("L") + "P"_01("P"))/2`

= `(40 + 90)/2`

= `130/2`

= 65

Fisher’s Price Index Number

P01(F) = `sqrt("P"_01("L") xx "P"_01("P"))`

= `sqrt(40 xx 90)`

= `sqrt(3600)`

= 60`

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Construction of Index Numbers - Weighted Aggregate Method
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अध्याय 2.5: Index Numbers - Q.4

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

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


Choose the correct alternative :

Walsh’s Price Index Number is given by


Fill in the blank :

Dorbish-Bowley’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.


`(sum"p"_0("q"_0 + "q"_1))/(sum"p"_1("q"_0 + "q"_1)) xx 100` is Marshall-Edgeworth’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 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 :

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.


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:

Price Index Number by using Weighted Aggregate Method is given by


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:

Walsh'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

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