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प्रश्न
Find the missing price if Laspeyre’s and Paasche’s Price Index Numbers are equal for following data.
| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 1 | 10 | 2 | 5 |
| B | 1 | 5 | – | 12 |
उत्तर
Let us denote the missing value by x and reconstruct the table as follows.
| Commodity | Base Year | Current Year | p0q0 | p1q0 | p1q1 | p0q1 | ||
| p0 | q0 | p1 | q1 | |||||
| A | 1 | 10 | 2 | 5 | 10 | 20 | 10 | 5 |
| B | 1 | 5 | x | 12 | 5 | 5x | 1 | 12 |
| Total | 15 | 20 + 5x | 10 + 12x | 17 | ||||
The above table gives
`sum"p"0"q"_0` = 15, `sum"p"_1"q"_0` = 20 5x, `sum"p"_1"q"_1` = 10 + 12x, `sum"p"_0"q"_1` = 17
It is given that
P01(L) = P01(P)
`(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
`(sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`
∴ `(5x + 20)/15 = (12x + 10)/17`
∴ `(5(x + 4))/15 = (12x + 10)/17`
∴ 17(x + 4) = 3(12x + 10)
∴ 17x + 68 = 36x + 30
∴ x = 2
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संबंधित प्रश्न
Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall - Edgeworth’s Price index numbers.
| Commodity | Base Year | Current Year | ||
| 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 | ||
| 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.
Given that Laspeyre’s and Dorbish-Bowley’s Price Index Numbers are 160.32 and 164.18 respectively, find Paasche’s Price Index Number.
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.
Choose the correct alternative :
The price Index Number by Weighted Aggregate Method is given by ______.
Dorbish-Bowley’s Price Index Number is given by ______.
Choose the correct alternative :
Marshall-Edgeworth’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 _______.
State whether the following is True or False :
`sum("p"_1"q"_1)/("p"_0"q"_1)` is Laspeyre’s Price Index Number.
`(sum"p"_0("q"_0 + "q"_1))/(sum"p"_1("q"_0 + "q"_1)) xx 100` is Marshall-Edgeworth’s Price Index Number.
Solve the following problem :
Calculate Walsh’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 |
Choose the correct alternative:
The formula P01 = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100` is for
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:
Dorbish-Bowley's Price Index Number is the square root of the product of Laspeyre's and Paasche's Index Numbers.
