Laspeyre’s Price Index Number is given by _______. - Mathematics and Statistics

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Laspeyre’s Price Index Number is given by _______.

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उत्तर

Laspeyre’s Price Index Number is given $\underset{̲}{\frac{\sum p_{1} q_{0}}{\sum p_{0} q_{0}} \times 100}$ .

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Construction of Index Numbers - Weighted Aggregate Method

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Q 2.07 Q 2.06 Q 2.08

अध्याय 5: Index Numbers - Miscellaneous Exercise 5 [पृष्ठ ९१]

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

अध्याय 5 Index Numbers
Miscellaneous Exercise 5 | Q 2.07 | पृष्ठ ९१

संबंधित प्रश्न

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

Given that Laspeyre’s and Dorbish-Bowley’s Price Index Numbers are 160.32 and 164.18 respectively, find Paasche’s Price Index Number.

Laspeyre’s Price Index Number is given by ______.

Choose the correct alternative :

Fisher’s Price 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 _______.

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 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

Choose the correct alternative:

Fisher’s Price Index Number is

State whether the following statement is True or False:

Walsh’s Price Index Number is given by $\frac{\sum p_{1} \sqrt{q_{0} q_{1}}}{\sum p_{0} \sqrt{q_{0} q_{1}}} \times 100$

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

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	$□$	$□$	180
II	10	5	50	5	$□$	5	50	$□$
III	40	8	10	2	16	$□$	160	$□$
IV	30	4	20	1	$□$	2	$□$	40
Total	–	–	–	–			390	$□$

Walsh’s price Index Number is

P₀₁(W) = $\frac{□}{\sum p_{0} \sqrt{q_{0} q_{1}}} \times 100$

= $\frac{510}{□} \times 100$

= $□$

$\sqrt{\frac{\sum p_{1} q_{0}}{\sum p_{0} q_{0}}} \times \sqrt{\frac{\sum p_{1} q_{1}}{\sum p_{0} q_{1}}} \times 100$

Laspeyre’s Price Index Number is given by _______. - Mathematics and Statistics

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Laspeyre’s Price Index Number is given by _______. - Mathematics and Statistics

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