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प्रश्न
Calculate by a suitable method, the index number of price from the following data:
| Commodity | 2002 | 2012 | ||
| Price | Quantity | Price | Quantity | |
| A | 10 | 20 | 16 | 10 |
| B | 12 | 34 | 18 | 42 |
| C | 15 | 30 | 20 | 26 |
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उत्तर
| Commodity | 2002 (Base year) |
2012 (Current year) |
p0q0 |
p0q1 |
p1q0 |
p1q1 |
||
| p0 | q0 | p1 | q1 | |||||
| A | 10 | 20 | 16 | 10 | 200 | 100 | 320 | 160 |
| B | 12 | 34 | 18 | 42 | 408 | 504 | 612 | 756 |
| C | 15 | 30 | 20 | 26 | 450 | 390 | 600 | 520 |
| Total | `sum"p"_0"q"_0` = 1058 | `sum"p"_0"q"_1` = 1054 | `sum"p"_1"q"_0` = 1532 | `sum"p"_1"q"_0` = 1436 | ||||
Laspeyres price index number
`"P"_01^"L" = (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
= `1532/1058 xx 100`
= 144.8
Peasche's price index number
`"P"_01^"P" = (sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`
= `1436/1054 xx 100`
= 136.24
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संबंधित प्रश्न
Features of index numbers:
- It is useful in framing suitable economic policies.
- It is useful to present financial data in real terms
- Index numbers are statistical devices.
- Index numbers are specialized averages.
Index number was originally developed to measure ______.
Construct Quantity index number from the given data:
| Commodity | A | B | C | D | E |
| Base year quantities | 170 | 150 | 100 | 195 | 205 |
| Current year quantities | 90 | 70 | 75 | 150 | 95 |
Define Index Number
Define true value ratio
Using the following data, construct Fisher’s Ideal index and show how it satisfies Factor Reversal Test and Time Reversal Test?
| Commodity | Price in Rupees per unit | Number of units | ||
| Basic year | Current year | Base year | Current year | |
| A | 6 | 10 | 50 | 56 |
| B | 2 | 2 | 100 | 120 |
| C | 4 | 6 | 60 | 60 |
| D | 10 | 12 | 50 | 24 |
| E | 8 | 12 | 40 | 36 |
Calculate Fisher’s index number to the following data. Also show that it satisfies Time Reversal Test.
| Commodity | 2016 | 2017 | ||
| Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | |
| Food | 40 | 12 | 65 | 14 |
| Fuel | 72 | 14 | 78 | 20 |
| Clothing | 36 | 10 | 36 | 15 |
| Wheat | 20 | 6 | 42 | 4 |
| Others | 46 | 8 | 52 | 6 |
Choose the correct alternative:
Most commonly used index number is:
Assertion and reasoning question:
- Assertion (A): The index number considers all factors.
- Reasoning (R): The index number is based on samples.
Complete the correlation:
P0 : ______ : : P1 : Current year price.
