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

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Question

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

Commodity I II III IV V
Base Year Quantities 140 120 100 200 225
Current Year Quantities 100 80 70 150 185
Sum
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Solution

Commodity Base Year Quantities q0 Current Year Quantities q1
I 140 100
II 120 80
III 100 70
IV 200 150
V 225 185
Total 785 585

From the table, ∑ q0 = 785, ∑ q1 = 585

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

`= 585/785 xx 100`

= 74.52

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

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