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Calculate the cost of living index by aggregate expenditure method: Commodity Weight2010 Price (Rs.) 2010 2015 P 80 22 25 Q 30 30 45 R 25 42 50 S 40 25 35 T 50 36 52

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प्रश्न

Calculate the cost of living index by aggregate expenditure method:

Commodity Weight
2010
Price (Rs.)
2010 2015
P 80 22 25
Q 30 30 45
R 25 42 50
S 40 25 35
T 50 36 52
तक्ता
बेरीज
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उत्तर

Commodity Price (Rs.) Weights
(V)
P = `"p"_1/"p"_0 xx 100` PV
2010
(p0)
2015
(p1)
P 22 25 80 113.63 9090.4
Q 30 45 30 150 4500
R 42 50 25 119.05 2976.25
S 25 35 40 140 5600
T 36 52 50 144.44 7222
Total `sum"V"` = 225   `sum"PV"` = 29388.65

Cost of living index number = `(sum"PV")/(sum"V")`

= `29388.65/225`

= 130.62

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Applied Statistics - Exercise 9.2 [पृष्ठ २२१]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 9 Applied Statistics
Exercise 9.2 | Q 22 | पृष्ठ २२१

संबंधित प्रश्‍न

Assertion (A): Index numbers are statistical devices.

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


Mention the classification of Index Number


Define Time Reversal Test


Define family budget method


Choose the correct alternative:

While computing a weighted index, the current period quantities are used in the:


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

Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?

Commodities Price Quantity
Base Year Current Year Base Year Current Year
Wheat 6 10 50 56
Ghee 2 2 100 120
Firewood 4 6 60 60
Sugar 10 12 30 24
Cloth 8 12 40 36

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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