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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 |
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
Explain the features of index numbers.
Define Time Reversal Test
State the uses of cost of Living Index Number
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 |
Choose the correct alternative:
Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:
Choose the correct alternative:
Cost of living at two different cities can be compared with the help of
Choose the correct alternative:
Most commonly used index number is:
Calculate the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Interpret on the data.
Commodities | Base Year | Current Year | ||
Price | Quantity | Price | Quantity | |
A | 170 | 562 | 72 | 632 |
B | 192 | 535 | 70 | 756 |
C | 195 | 639 | 95 | 926 |
D | 1987 | 128 | 92 | 255 |
E | 1985 | 542 | 92 | 632 |
F | 150 | 217 | 180 | 314 |
7 | 12.6 | 12.7 | 12.5 | 12.8 |
8 | 12.4 | 12.3 | 12.6 | 12.5 |
9 | 12.6 | 12.5 | 12.3 | 12.6 |
10 | 12.1 | 12.7 | 12.5 | 12.8 |
Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?
Commodities | Price | Quantity | ||
Base Year | Current Year | Base Year | Current Year | |
Wheat | 6 | 10 | 50 | 56 |
Ghee | 2 | 2 | 100 | 120 |
Firewood | 4 | 6 | 60 | 60 |
Sugar | 10 | 12 | 30 | 24 |
Cloth | 8 | 12 | 40 | 36 |
Read the given passage and answer the questions:
Index Number is a technique of measuring changes in a variable or group of related variables with reference to time, geographical location and other characteristics. Index Number is very useful for economists, farmers, traders, government, educationalists and trade union leaders for planning and implementing the plans according to their sector. The scope of index number is not limited to only one subject but it extends to many subjects such as Economics, Educational science, Psychology, History, Sociology, Geography etc. While framing index number its objective must be determined. To attain the objective the information is collected in various ways and this information is used for comparing two different time periods. For this purpose, the base year’s index is assumed as 100 and accordingly the value of the current year is calculated. Laspeyre, Paasche and Fisher have suggested different methods for constructing index numbers. |
- Explain the meaning of Index Number.
- To whom the Index Number is useful?
- Express your opinion about the given passage.