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Find the Value Index Number using Simple Aggregate Method in the following example. - Mathematics and Statistics

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Question

Find the Value Index Number using Simple Aggregate Method in the following example.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 50 22 70 14
B 70 16 90 22
C 60 18 105 14
D 120 12 140 15
E 100 22 155 28
Sum
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Solution

Commodity Base year Current year p0q0 p1q1
p0 q0 p1 q1
A 50 22 70 14 1100 980
B 70 16 90 22 1120 1980
C 60 18 105 14 1080 1470
D 120 12 140 15 1440 2100
E 100 22 155 28 2200 4340
Total - - - - 6940 10870

From the table, `sum "p"_0"q"_0 = 6940, sum"p"_1"q"_1 = 10870`

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

`= 10870/6940 xx 100`

= 156.63

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Chapter 5: Index Numbers - Exercise 5.1 [Page 78]

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