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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Define true value ratio

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Question

Define true value ratio

Sum
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Solution

`(sum"p"_1"q"_1)/(sum"p"_0"q"_0)` is the ratio of the total value in the current period to the total value in the base period and this ratio is called the true value ratio.

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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 10 | Page 219

RELATED QUESTIONS

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.

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


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

Index numbers measure changes in the price level only.


Index number was originally developed to measure ______.


Calculate price index number for 2005 by (a) Laspeyre’s (b) Paasche’s method

Commodity 1995 2005
Price Quantity Price  Quantity
A 5 60 15 70
B 4 20 8 35
C 3 15 6 20

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

The following are the group index numbers and the group weights of an average working class family’s budget. Construct the cost of living index number:

Groups Food Fuel and
Lighting
Clothing Rent Miscellaneous
Index Number  2450 1240 3250 3750 4190
Weight 48 20 12 15 10

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

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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