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Calculate Quantity Index Number using Simple Aggregate method Commodity I II III IV V Base year Quantity 140 120 100 200 225 Current year Quantity 100 80 70 150 185 - Mathematics and Statistics

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Question

Calculate Quantity Index Number using Simple Aggregate method

Commodity I II III IV V
Base year Quantity 140 120 100 200 225
Current year Quantity 100 80 70 150 185
Chart
Sum

Solution

Commodity Base Year
Quantities q0
Current Year
Quantities q1
I 140 100
II 120 80
III 100 70
IV 20 150
V 255 185
Tota 785 585

From the table, `sum"q"_0` = 785, `sum"q"_1` = 585

Quantity Index Number (Q01) = `(sum"q"_1)/(sum"q"_0) xx 100`

= `585/785 xx 100`

= 74.52

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Chapter 2.5: Index Numbers - Q.4

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