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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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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
सारिणी
योग
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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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Applied Statistics - Exercise 9.2 [पृष्ठ २१९]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 9 Applied Statistics
Exercise 9.2 | Q 14 | पृष्ठ २१९

संबंधित प्रश्न

State with reasons whether you agree or disagree with the following statement:

Index numbers can be constructed without the base year.


Index number was originally developed to measure ______.


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


State the test of adequacy of index number


Define Time Reversal Test


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:

Another name of consumer’s price index number is:


Choose the correct alternative:

Cost of living at two different cities can be compared with the help of


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.

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