# Solve the following problem : Find the Value Index Number using Simple Aggregate Method. - Mathematics and Statistics

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

#### 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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Chapter 5: Index Numbers - Miscellaneous Exercise 5 [Page 92]

#### 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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