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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
तक्ता
बेरीज
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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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पाठ 9: Applied Statistics - Exercise 9.2 [पृष्ठ २१९]

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

संबंधित प्रश्‍न

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


Index number was originally developed to measure ______.


Assertion (A): Index numbers are statistical devices.

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


Define Laspeyre’s price index number


State the test of adequacy of index number


Define family budget method


Choose the correct alternative:

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


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

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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