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

Question

Options

`((sum"p"_1"q"_0)/(sum"p"_0"q"_1) + (sum"p"_0"q"_1)/(sum"p"_1"q"_0))/(2) xx 100`
`((sum"p"_1"q"_1)/(sum"p"_0"q"_0) + (sum"p"_0"q"_0)/(sum"p"_1"q"_1))/(2) xx 100`
`((sum"p"_1"q"_0)/(sum"p"_0"q"_0) + (sum"p"_1"q"_1)/(sum"p"_0"q"_1))/(2) xx 100`
`((sum"p"_0"q"_0)/(sum"p"_1"q"_0) + (sum"p"_0"q"_1)/(sum"p"_1"q"_1))/(2) xx 100`

MCQ

Fill in the Blanks

Solution

Dorbish-Bowley’s Price Index Number is given by `bbunderline(((sum"p"_1"q"_0)/(sum"p"_0"q"_0) + (sum"p"_1"q"_1)/(sum"p"_0"q"_1))/(2) xx 100)`.

shaalaa.com

Construction of Index Numbers - Weighted Aggregate Method

Is there an error in this question or solution?

Q 1.09 Q 1.08 Q 1.1

Chapter 5: Index Numbers - Miscellaneous Exercise 5 [Page 90]

APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board

Chapter 5 Index Numbers
Miscellaneous Exercise 5 | Q 1.09 | Page 90

2023-2024 (March) Official (with solutions)

Q 4.A.iv | 1 mark

RELATED QUESTIONS

Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and MarshallEdgeworth’s Price index numbers.

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

Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall - Edgeworth’s Price index numbers.

Commodity	Base Year		Current Year
Commodity	Price	Quantity	Price	Quantity
I	10	9	20	8
II	20	5	30	4
III	30	7	50	5
IV	40	8	60	6

Calculate Walsh’s Price Index Number.

Commodity	Base Year		Current Year
Commodity	Price	Quantity	Price	Quantity
I	10	12	20	9
II	20	4	25	8
III	30	13	40	27
IV	60	29	75	36

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

If Laspeyre's Price Index Number is four times Paasche's Price Index Number, then find the relation between Dorbish-Bowley's and Fisher's Price Index Numbers.

Paasche’s Price Index 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 :

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

Fill in the blank :

Marshall-Edgeworth’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.

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.

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

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 :

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.

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.

Calculate Marshall-Edgeworth Price Index Number for following.

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

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

Commodity	Base Year		Current Year
Commodity	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 P₀₁ (L) = 121, P₀₁ (P) = 100, then P₀₁ (F) = ______.

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
Commodity	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`

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

Advertisements

Advertisements

Question

Options

Advertisements

Solution

APPEARS IN

RELATED QUESTIONS

Select a course

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

Advertisements

Advertisements

Question

Options

Advertisements

SolutionShow Solution

APPEARS IN

RELATED QUESTIONS

Select a course

Solution