Calculate Walsh’s Price Index Number. Commodity Base Year Current Year Price Quantity Price Quantity L 4 16 3 19 M 6 16 8 14 N 8 28 7 32

प्रश्न

Calculate Walsh’s Price Index Number.

Commodity	Base Year		Current Year
Commodity	Price	Quantity	Price	Quantity
L	4	16	3	19
M	6	16	8	14
N	8	28	7	32

बेरीज

उत्तर

Walsh’s Price Index = `(sum(P_1 xx sqrt(q_0q_1)))/(sum(P_0 xx sqrt(q_0q_1))) xx 100`

For Commodity L:

P₀ = 4, q₀ = 16, P₁= 3, q₁= 19

`sqrt(16xx19) = sqrt304 = 17.44`

`P_1 xx sqrt(q_0q_1) = 3 xx 17.44 = 52.32`

P0 × `sqrt(q_0q_1)` = 4 × 17.44 = 69.76

For Commodity M:

P₀ = 6, q₀ = 16, P₁ = 8, q₁ = 14

`sqrt(16xx14) = sqrt224 = 14.97`

P₁× `sqrt(q_0q_1)` = 8 × 14.97 = 119.76

P₀ × `sqrt(q_0q_1)` = 6 × 14.97 = 89.82

For Commodity N:

P₀ = 8, q₀ = 28, P₁ = 7, q₁ = 32

`sqrt(28xx32) = sqrt896 = 29.93`

P₁ × `sqrtq_0q_1` = 7 × 29.93 = 209.51

P₀ × `sqrt(q_0q_1)` = 8 × 29.93 = 239.44

Totals:

`sum P_1sqrt(q_0q_1)` = 52.32 + 119.76 + 209.51 = 381.59

`sum P_0sqrt(q_0q_1)` = 69.76 + 89.82 + 239.44 = 398.99

`= 381.59/398.99 = 100`

= 95.64

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Construction of Index Numbers - Weighted Aggregate Method

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

Q 1.03 Q 1.02 Q 1.04

पाठ 5: Index Numbers - Exercise 5.2 [पृष्ठ ८२]

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

पाठ 5 Index Numbers
Exercise 5.2 | Q 1.03 | पृष्ठ ८२

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

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

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

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.

If Dorbish-Bowley's and Fisher's Price Index Numbers are 5 and 4, respectively, then find Laspeyre's and Paasche's Price Index Numbers.

Paasche’s Price Index Number is given by ______.

Choose the correct alternative :

Fisher’s Price Number is given by

Laspeyre’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.

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

`(sum"p"_0sqrt("q"_0"q"_1))/(sum"p"_1sqrt("q"_0"q"_1)) xx 100` is Walsh’s Price Index Number.