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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

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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
सारिणी
योग
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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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अध्याय 9: Applied Statistics - Miscellaneous problems [पृष्ठ २३२]

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

संबंधित प्रश्न

Statements that are incorrect in relation to index numbers:

  1. An index number is a geographical tool.
  2. Index numbers measure changes in air pressure.
  3. Index numbers measure relative changes in an economic variable.
  4. Index numbers are specialized averages.

Explain the features of index numbers.


Features of index numbers:

  1. It is useful in framing suitable economic policies.
  2. It is useful to present financial data in real terms
  3. Index numbers are statistical devices.
  4. Index numbers are specialized averages.

Write note on Fisher’s price 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

Choose the correct alternative:

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


Calculate the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Interpret on the data.

Commodities Base Year Current Year
Price Quantity Price  Quantity
A 170 562 72 632
B 192 535 70 756
C 195 639 95 926
D 1987 128 92 255
E 1985 542 92 632
F 150 217 180 314
7 12.6 12.7 12.5 12.8
8 12.4 12.3 12.6 12.5
9 12.6 12.5 12.3 12.6
10 12.1 12.7 12.5 12.8

Assertion and reasoning question:

  • Assertion (A): The index number considers all factors.
  • Reasoning (R): The index number is based on samples.

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

Index number measures changes in the price level only.


The base year's index of a selected variable is assumed as ______.


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