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Using Fisher’s Ideal Formula, compute price index number for 1999 with 1996 as base year, given the following: Year Commodity: A Commodity: B Commodity: C Price (Rs.) Quantity (kg) Price (Rs.) - Business Mathematics and Statistics

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प्रश्न

Using Fisher’s Ideal Formula, compute price index number for 1999 with 1996 as base year, given the following:

Year Commodity: A Commodity: B Commodity: C
Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg)
1996 5 10 8 6 6 3
1999 4 12 7 7 5 4
सारिणी
योग

उत्तर

Commodity 1996
(Base year)
1999
(Current year)
p0q0 p0q1 p1q0 p1q1
p0 q0 p1 q1
A 5 10 4 12 50 60 40 48
B 8 6 7 7 48 56 42 49
C 6 3 5 4 18 24 15 20
Total `sum"p"_0"q"_0` = 116 `sum"p"_0"q"_1` = 140 `sum"p"_1"q"_0` = 97 `sum"p"_1"q"_0` = 117

Fisher’s Index number 

`"P"_01^"F" = sqrt((sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_1)/(sum"p"_0"q"_1)) xx 100`

= `sqrt(97/116 xx 117/140) xx 100`

= `sqrt(11349/16240) xx 100`

= `sqrt(0.6988) xx 100`

= `0.8359 xx 100`

= 83.59

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अध्याय 9: Applied Statistics - Exercise 9.2 [पृष्ठ २२०]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 9 Applied Statistics
Exercise 9.2 | Q 18 | पृष्ठ २२०

संबंधित प्रश्न

Complete the Correlation:

__________ : Single variable :: Composite index : Group of variables


Find the odd word

Types of index numbers -


Index number which is computed from a single variable called is a ______.


Explain factor reversal test


Choose the correct alternative:

Another name of consumer’s price index number is:


Choose the correct alternative:

Most commonly used index number is:


Choose the correct alternative:

Which of the following Index number satisfy the time reversal test?


An Enquiry was made into the budgets of the middle class families in a city gave the following information.

Expenditure Food Rent Clothing Fuel Rice
Price(2010) 150 50 100 20 60
Price(2011) 174 60 125 25 90
Weights 35 15 20 10 20

What changes in the cost of living have taken place in the middle class families of a city?


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.

Complete the correlation:

P0 : ______ : : P1 : Current year price.


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