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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 - Business Mathematics and Statistics

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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

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.

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

Index numbers measure changes in the price level only.


Assertion (A): Index numbers are statistical devices.

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


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.


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

Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.

Commodity Price Weights
2012 2015
Rice 250 280 10
Wheat 70 85 5
Corn 150 170 6
Oil 25 35 4
Dhal 85 90 3

Choose the correct alternative:

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


Choose the correct alternative:

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


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`

Complete the correlation:

P0 : ______ : : P1 : Current year price.


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