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

State whether the following is True or False : ∑p1q1p0q1 is Laspeyre’s Price Index Number. - Mathematics and Statistics

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प्रश्न

State whether the following is True or False :

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

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

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

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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 ९१]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 5 Index Numbers
Miscellaneous Exercise 5 | Q 3.05 | पृष्ठ ९१

संबंधित प्रश्‍न

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


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


Choose the correct alternative :

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


Paasche’s Price Index Number is given by ______.


Choose the correct alternative :

Fisher’s Price Number is given by


Choose the correct alternative :

Walsh’s Price Index Number is given by


Laspeyre’s Price Index Number is given by _______.


Walsh’s Price Index Number is given by _______.


`(sump_1q_0)/(sump_0q_0) xx 100` is Paasche’s Price Index Number.


`(sump_0(q_0 + q_1))/(sump_1(q_0 + q_1)) xx 100` is Marshall-Edgeworth’s price index number.


Solve the following problem :

Calculate Dorbish-Bowley’s Price Index Number for the following data.

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
I 8 30 11 28
II 9 25 12 22
III 10 15 13 11

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 :

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"_0"q"_0 = 130, sum "p"_1"q"_1 = 140, sum "p"_0"q"_1 = 160, and sum "p"_1"q"_0 = 200`, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall-Edgeworth’s Price Index Numbers.


Choose the correct alternative:

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


Fisher's Price Index Number is given by ______.


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


The average of Laspeyre’s and Paasche’s Price Index Numbers is called ______ Price Index Number


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


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.


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


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.


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

If ∑ p0q0 = 120, ∑ p0q1 = 160, ∑ p1q1 = 140, ∑ p1qo = 200, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s and Marshall-Edgeworth’s Price Index Numbers.


In the following table, Laspeyre's and Paasche's Price Index Numbers are equal. Complete the following activity to find x :

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

Solution: P01(L) = P01(P)

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

`(20 + 5x)/square xx 100 = square/14 xx 100`

∴ x = `square`


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