Maharashtra State BoardHSC Commerce 12th Board Exam
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Solve the following problem : Calculate Dorbish-Bowley’s Price Index Number for the following data. - Mathematics and Statistics

Sum

Solve the following problem :

Calculate Dorbish-Bowley’s Price Index Number for the following data.

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
I 8 30 11 28
II 9 25 12 22
III 10 15 13 11
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Solution

Commodity Base Year Current Year p0q0 p1q0 p0q1 p1q1
  p0 q0 p1 q1        
I 8 30 11 28 240 330 224 308
II 9 25 12 22 225 300 198 264
III 10 15 13 11 150 195 110 143
Total 615 825 532 715

From the table,
`sum"p"_0"q"_0 = 615, sum"p"_1'q"_0 = 825`,

`sum"p"_0"q"_1 = 532, sum"p"_1"q"_1 = 715`

Dorbish-Bowley’s Price Index Number:

P01(D–B) = `((sum"p"_1"q"_0)/(sum"p"_0"q"_0) + (sum"p"_1"q"_1)/(sum"p"_0"q"_1))/(2) xx 100`

= `((825)/(615) + (715)/(532))/(2) xx 100`

= 134.27

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 5 Index Numbers
Miscellaneous Exercise 5 | Q 4.06 | Page 92
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