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Question

The group indices of prices of commodities for second week of Sept. 2017 and the group weights are given below. Compute the index number by family budget method.
Group Weights Index
Food Article 31 473.6
Manufactures 30 390.2
Industrial Raw Material 18 510.2
Semi-Manufactures 17 403.3
Miscellaneous 4 624.4

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Solution

Group Weights
(w)
Index
(x)
wx
Food Article
Manufactures
Industrial Raw Material
Semi-Manufactures
Miscellaneous
31
30
18
17
4
473.6
390.2
510.2
403.3
624.4
14681.6
11706
9183.6
6856.1
2497.6
∑w = 100 ∑wx = 44924.9

WPI=ΣwxΣw=44924.9100=449.249
Thus, the index of wholesale prices is 449.29.

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