If P01 (L) = 121, P01 (P) = 100, then P01 (F) = ______.

प्रश्न

If P₀₁ (L) = 121, P₀₁ (P) = 100, then P₀₁ (F) = ______.

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उत्तर

If P₀₁ (L) = 121, P₀₁ (P) = 100, then P₀₁ (F) = 110.

Explanation:

P₀₁ (F) = `sqrt(P_(01) (L) xx P_(01) (P))`

= `sqrt(121 xx 100)`

= `sqrt(12100)`

= 110

∴ P₀₁ (F) = 110.

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Construction of Index Numbers - Weighted Aggregate Method

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Q 4.C.iii Q 4.C.ii Q 5.A.i

2021-2022 (March) Set 1

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2021-2022 (March) Set 1 (with solutions)

Q 4.C.iii | 1 mark

संबंधित प्रश्न

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

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

Given that ∑p₀q₀ = 220, ∑p₀q₁ = 380, ∑p₁q₁ = 350 and Marshall-Edgeworth’s Price Index Number is 150, find Laspeyre’s Price Index Number.

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 :

Paasche’s Price Index Number is given by _______.

Fill in the blank :

Marshall-Edgeworth’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 :

`(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.

`(sump_0(q_0 + q_1))/(sump_1(q_0 + q_1)) xx 100` is Marshall-Edgeworth’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 :

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

Find x if Laspeyre’s Price Index Number is same as Paasche’s Price Index Number for the following data

Commodity	Base Year		Current Year
	Price p₀	Quantity q₀	Price p₁	Quantity q₁
A	3	x	2	5
B	4	6	3	5

Solve the following problem :

Find x if Paasche’s Price Index Number is 140 for the following data.

Commodity	Base Year		Current Year
	Price p₀	Quantity q₀	Price p₁	Quantity q₁
A	20	8	40	7
B	50	10	60	10
C	40	15	60	x
D	12	15	15	15

Choose the correct alternative:

Dorbish–Bowley’s Price Index Number is

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"_1"q"_1)/(sum"p"_0"q"_1) xx 100` is Paasche’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
Commodity	Price	Quantity	Price	Quantity
A	10	9	50	8
B	20	5	60	4
C	30	7	70	3
D	40	8	80	2

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 `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)

Calculate Marshall – Edgeworth’s price index number for the following data:

Commodity	Base year		Current year
Commodity	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, ∑ p₁q_o= 200, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s and Marshall-Edgeworth’s Price Index Numbers.

Complete the following activity to calculate, Laspeyre's and Paasche's Price Index Number for the following data :

Commodity	Base Year		Current Year
Commodity	Price p₀	Quantity q₀	Price p₁	Quantity q₁
I	8	30	12	25
II	10	42	20	16

Solution:

Commodity	Base Year		Current Year		p₁q₀	p₀q₀	p₁q₁	p₀q₁
	p₀	q₀	p₁	q₁	p₁q₀	p₀q₀	p₁q₁	p₀q₁
I	8	30	12	25	360	240	300	200
II	10	42	20	16	840	420	320	160
Total					`bb(sump_1q_0=1200)`	`bb(sump_0q_0=660)`	`bb(sump_1q_1=620)`	`bb(sump_0q_1=360)`

Laspeyre's Price Index Number:

P₀₁(L) = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100 = square/660xx100`

∴ P₀₁(L) = `square`

Paasche 's Price Index Number:

P₀₁(P) = `(sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100=(620)/(square) xx 100`

∴ P₀₁(P) = `square`

If P01 (L) = 121, P01 (P) = 100, then P01 (F) = ______.

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If P01 (L) = 121, P01 (P) = 100, then P01 (F) = ______.

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