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Tamil Nadu Board of Secondary EducationHSC Commerce कक्षा १२

HSC Commerce कक्षा १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

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Business Mathematics and Statistics
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Define family budget method

[9] Applied Statistics
Chapter: [9] Applied Statistics
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State the uses of cost of Living Index Number

[9] Applied Statistics
Chapter: [9] Applied Statistics
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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
[9] Applied Statistics
Chapter: [9] Applied Statistics
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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
[9] Applied Statistics
Chapter: [9] Applied Statistics
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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
[9] Applied Statistics
Chapter: [9] Applied Statistics
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Using the following data, construct Fisher’s Ideal index and show how it satisfies Factor Reversal Test and Time Reversal Test?

Commodity Price in Rupees per unit Number of units
Basic year Current year Base year Current year
A 6 10 50 56
B 2 2 100 120
C 4 6 60 60
D 10 12 50 24
E 8 12 40 36
[9] Applied Statistics
Chapter: [9] Applied Statistics
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Using Fisher’s Ideal Formula, compute price index number for 1999 with 1996 as base year, given the following:

Year Commodity: A Commodity: B Commodity: C
Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg)
1996 5 10 8 6 6 3
1999 4 12 7 7 5 4
[9] Applied Statistics
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Calculate Fisher’s index number to the following data. Also show that it satisfies Time Reversal Test.

Commodity 2016 2017
Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg)
Food 40 12 65 14
Fuel 72 14 78 20
Clothing 36 10 36 15
Wheat 20 6 42 4
Others 46 8 52 6
[9] Applied Statistics
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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
[9] Applied Statistics
Chapter: [9] Applied Statistics
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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
[9] Applied Statistics
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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
[9] Applied Statistics
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Choose the correct alternative:

Another name of consumer’s price index number is:

[9] Applied Statistics
Chapter: [9] Applied Statistics
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Choose the correct alternative:

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

[9] Applied Statistics
Chapter: [9] Applied Statistics
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Choose the correct alternative:

Cost of living at two different cities can be compared with the help of

[9] Applied Statistics
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Choose the correct alternative:

Most commonly used index number is:

[9] Applied Statistics
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Choose the correct alternative:

Consumer price index are obtained by:

[9] Applied Statistics
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Choose the correct alternative:

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

[9] Applied Statistics
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Choose the correct alternative:

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

[9] Applied Statistics
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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
[9] Applied Statistics
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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
[9] Applied Statistics
Chapter: [9] Applied Statistics
Concept: undefined >> undefined
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