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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Compute the consumer price index for 2015 on the basis of 2014 from the following data. Commodities Quantities Prices in 2015 Prices in 2016 A 6 5.75 6.00 B 6 5.00 8.00 C 1 6.00 9.0 - Business Mathematics and Statistics

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Question

Compute the consumer price index for 2015 on the basis of 2014 from the following data.

Commodities Quantities Prices in 2015 Prices in 2016
A 6 5.75 6.00
B 6 5.00 8.00
C 1 6.00 9.00
D 6 8.00 10.00
E 4 2.00 1.50
F 1 20.00 15.00
Chart
Sum

Solution

Commodities Quantities
(q0)
Prices in 2015
(p0)
Prices in 2016
(p1)
p0q0 p1q0
A 6 5.75 6.00 34.50 36.00
B 6 5.00 8.00 30.00 48.00
C 1 6.00 9.00 6.00 9.00
D 6 8.00 10.00 48.00 60.00
E 4 2.00 1.50 8.00 6.00
F 1 20.00 15.00 20.00 15.00
Total 146.50 174.00

Consumer price index = `(sum"p"_0"q"_1)/(sum"p"_0"q"_0) xx 100`

= `174.00/146.50 xx 100`

= 118.77

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Chapter 9: Applied Statistics - Miscellaneous problems [Page 232]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 9 Applied Statistics
Miscellaneous problems | Q 6 | Page 232

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