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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
सारिणी
योग

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Applied Statistics - Exercise 9.2 [पृष्ठ २२१]

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

संबंधित प्रश्न

Explain the features of index numbers.


Features of index numbers:

  1. It is useful in framing suitable economic policies.
  2. It is useful to present financial data in real terms
  3. Index numbers are statistical devices.
  4. Index numbers are specialized averages.

Index number was originally developed to measure ______.


Identify & explain the concept from the given illustration.

Bombay Stock Exchange has developed “Sensex” as a stock market index for reflecting the share prices of listed companies.


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

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

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

Choose the correct alternative:

Consumer price index are obtained by:


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`

The base year's index of a selected variable is assumed as ______.


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