Maharashtra State BoardHSC Commerce 12th Board Exam
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Solve the following problem : Find the Value Index Number using Simple Aggregate Method. - Mathematics and Statistics

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Sum

Solve the following problem :

Find the Value Index Number using Simple Aggregate Method.

Commodity Base Year Current Year
  Price Quantity Price Quantity
I 20 42 22 45
II 35 60 40 58
III 50 22 55 24
IV 60 56 70 62
V 25 40 30 41
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Solution

Commodity Base Year Current Year p0q0 p1q1
  p0 q0 p1 q1    
I 20 42 22 45 840 990
II 35 60 40 58 2100 2320
III 50 22 55 24 1100 1320
IV 60 56 70 62 3360 4340
V 25 40 30 41 1000 1230
Total 8400 10200

From the table, `sum"p"_1"q"_1 = 8,400, sum"p"_1"q"_1 = 10,200`

Value Index Number (V01) = `(sum"p"_1"q"_1)/(sum"p"_0"q"_0) xx 100`

= `(10200)/(8400) xx 100`

= 121.43

Concept: Types of Index Numbers
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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 4.03 | Page 92
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