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Define Laspeyre’s price index number - Business Mathematics and Statistics

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प्रश्न

Define Laspeyre’s price index number

योग

उत्तर

Laspeyre’s Price index number

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

Where P1 = Current year price

p0 = Base year price

q0 = Base year quantity

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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 4 | पृष्ठ २१९

संबंधित प्रश्न

State the uses of Index Number


State the test of adequacy of index number


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

Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.

Commodity Price Weights
2012 2015
Rice 250 280 10
Wheat 70 85 5
Corn 150 170 6
Oil 25 35 4
Dhal 85 90 3

Choose the correct alternative:

Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:


Choose the correct alternative:

Most commonly used index number is:


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

Compute the consumer price index for 2015 on the basis of 2014 from the following data.

Commodities Quantities Prices in 2015 Prices in 2016
A 6 5.75 6.00
B 6 5.00 8.00
C 1 6.00 9.00
D 6 8.00 10.00
E 4 2.00 1.50
F 1 20.00 15.00

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.

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