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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 9.0 - Business Mathematics and Statistics

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प्रश्न

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
तक्ता
बेरीज
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उत्तर

Commodities Quantities
(q0)
Prices in 2015
(p0)
Prices in 2016
(p1)
p0q0 p1q0
A 6 5.75 6.00 34.50 36.00
B 6 5.00 8.00 30.00 48.00
C 1 6.00 9.00 6.00 9.00
D 6 8.00 10.00 48.00 60.00
E 4 2.00 1.50 8.00 6.00
F 1 20.00 15.00 20.00 15.00
Total 146.50 174.00

Consumer price index = `(sum"p"_0"q"_1)/(sum"p"_0"q"_0) xx 100`

= `174.00/146.50 xx 100`

= 118.77

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पाठ 9: Applied Statistics - Miscellaneous problems [पृष्ठ २३२]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 9 Applied Statistics
Miscellaneous problems | Q 6 | पृष्ठ २३२

संबंधित प्रश्‍न

State the uses of Index Number


Mention the classification of Index Number


Define Laspeyre’s price index number


Define true value ratio


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

Using the following data, construct Fisher’s Ideal index and show how it satisfies Factor Reversal Test and Time Reversal Test?

Commodity Price in Rupees per unit Number of units
Basic year Current year Base year Current year
A 6 10 50 56
B 2 2 100 120
C 4 6 60 60
D 10 12 50 24
E 8 12 40 36

Choose the correct alternative:

Another name of consumer’s price index number is:


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

Index number measures changes in the price level only.


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.

Choose the correct pair :

Group A Group B
1) Price Index a) `(sump_1q_1)/(sump_0q_0) xx100`
2) Value Index

b)

`(sumq_1)/(sumq_0) xx 100`
3) Quantity Index c) `(sump_1q_1)/(sump_0q_1) xx100`
4) Paasche's Index d) `(sump_1)/(sump_0) xx 100`

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