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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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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

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

Index numbers can be constructed without the base year.


Identify & explain the concept from the given illustration.

Agricultural Research Institute constructed an index number to measure changes in the production of raw cotton in Maharashtra during the period 2015-2020.


Define Laspeyre’s price index number


Write note on Fisher’s price index number


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

Choose the correct alternative:

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


Choose the correct alternative:

Most commonly used index number is:


Choose the correct alternative:

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


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

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