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Calculate the cost of living index by aggregate expenditure method: Commodity Weight2010 Price (Rs.) 2010 2015 P 80 22 25 Q 30 30 45 R 25 42 50 S 40 25 35 T 50 36 52 - Business Mathematics and Statistics

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प्रश्न

Calculate the cost of living index by aggregate expenditure method:

Commodity Weight
2010
Price (Rs.)
2010 2015
P 80 22 25
Q 30 30 45
R 25 42 50
S 40 25 35
T 50 36 52
सारिणी
योग
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उत्तर

Commodity Price (Rs.) Weights
(V)
P = `"p"_1/"p"_0 xx 100` PV
2010
(p0)
2015
(p1)
P 22 25 80 113.63 9090.4
Q 30 45 30 150 4500
R 42 50 25 119.05 2976.25
S 25 35 40 140 5600
T 36 52 50 144.44 7222
Total `sum"V"` = 225   `sum"PV"` = 29388.65

Cost of living index number = `(sum"PV")/(sum"V")`

= `29388.65/225`

= 130.62

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Applied Statistics - Exercise 9.2 [पृष्ठ २२१]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 9 Applied Statistics
Exercise 9.2 | Q 22 | पृष्ठ २२१

संबंधित प्रश्न

______ : Base year prices :: P1 : Current year prices.


Device that measures changes in an economic variable or a group of variables over a period of time –


Assertion (A): Index numbers are statistical devices.

Reasoning (R): Index numbers measure only changes in the price level over a period of time.


Mention the classification of Index Number


Define Laspeyre’s price index number


Explain Paasche’s price index number


Choose the correct alternative:

While computing a weighted index, the current period quantities are used in the:


Explain the meaning of index number.


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.

  1. Explain the meaning of Index Number.
  2. To whom the Index Number is useful?
  3. Express your opinion about the given passage.

The base year's index of a selected variable is assumed as ______.


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