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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

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

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Question

Define Laspeyre’s price index number

Sum

Solution

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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Chapter 9: Applied Statistics - Exercise 9.2 [Page 219]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 9 Applied Statistics
Exercise 9.2 | Q 4 | Page 219

RELATED QUESTIONS

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

Index numbers measure changes in the price level only.


Write note on Fisher’s price index number


Discuss about Cost of Living Index Number


Compute (i) Laspeyre’s (ii) Paasche’s (iii) Fisher’s Index numbers for the 2010 from the following data.

Commodity Price Quantity
2000 2010 2000 2010
A 12 14 18 16
B 15 16 20 15
C 14 15 24 20
D 12 12 29 23

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:

Which of the following Index number satisfy the time reversal test?


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

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`

Find the odd word out:

Features of Index Number:


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