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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

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 - Business Mathematics and Statistics

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Question

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
Chart
Sum

Solution

Commodity Price Weights
(V)
P = `"p"_1/"p"_0 xx 100` PV
2012
(p0)
2015
(p1)
Rice 250 280 10 112 1120
Wheat 70 85 5 121.43 607.15
Corn 150 170 6 113.33 679.98
Oil 25 35 4 140 560
Dhal 85 90 3 105.88 317.64
Total `sum"V"` = 28   `sum"PV"` = 3284.77

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

= `3284.77/28`

= 117.31

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Chapter 9: Applied Statistics - Exercise 9.2 [Page 221]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 9 Applied Statistics
Exercise 9.2 | Q 21 | Page 221
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