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प्रश्न
Given that ∑ p0q0 = 220, ∑ p0q1 = 380, ∑ p1q1 = 350 and MarshallEdgeworth’s Price Index Number is 150, find Laspeyre’s Price Index Number.
उत्तर
Given, ∑ p0q0 = 220, ∑ p0q1 = 380,
∑ p1q1 = 350 and P01 (M - E) = 150
`"P"_01("M - E") = (sum "p"_1"q"_0 + sum "p"_1"q"_1)/(sum "p"_0"q"_0 + sum "p"_0"q"_1) xx 100`
∴ `150 = (sum "p"_1"q"_0 + 350)/(220 + 380) xx 100`
∴ `150 = (sum "p"_1"q"_0 + 350)/600 xx 100`
∴ `(150 xx 600)/100 = sum "p"_1"q"_0 + 350`
∴ 900 = ∑ p1q0 + 350
∴ ∑ p1q0 = 900 - 350 = 550
`"P"_01("L") = (sum "p"_1"q"_0)/(sum "p"_0"q"_0) xx 100`
`= 550/220 xx 100 = 250`
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संबंधित प्रश्न
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| Price | Quantity | Price | Quantity | |
| I | 10 | 12 | 20 | 9 |
| II | 20 | 4 | 25 | 8 |
| III | 30 | 13 | 40 | 27 |
| IV | 60 | 29 | 75 | 36 |
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| Commodity | Base Year | Current Year | ||
| Price p0 |
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| X | 12 | 35 | 15 | 25 |
| Y | 29 | 50 | 30 | 70 |
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| Commodity | Base year | Current year | ||
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| I | 8 | 30 | 12 | 25 |
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| Commodity | Base Year | Current Year | ||
| Price P0 |
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Price p1 |
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| I | 8 | 30 | 12 | 25 |
| II | 10 | 42 | 20 | 16 |
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| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 10 | 9 | 50 | 8 |
| B | 20 | 5 | 60 | 4 |
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| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| I | 10 | 12 | 40 | 3 |
| II | 20 | 2 | 25 | 8 |
| III | 30 | 3 | 50 | 27 |
| IV | 60 | 9 | 90 | 36 |
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