# Calculate the Index Number. for the Year 2014, with 2010 as the Base Year by the Weighted Aggregate Method from the Following Data: - Mathematics

Calculate the index number. for the year 2014, with 2010 as the base year by the weighted aggregate method from the following data:

 Commodity Price in Rs Weight 2010 2014 A 2 4 8 B 5 6 10 C 4 5 14 D 2 2 19

#### Solution

 Commodity Price in Rs Weight w p_1omega p_0omega 2010 p_0 2014 p_1 A 2 4 8 32 16 B 5 6 10 60 50 C 4 5 14 70 56 D 2 2 19 38 38 sum p_1 omega = 200 sum p_0 omega = 160

p_01 = (sum p_1 omega)/(sum p_0 omega) xx 100

=200/160 xx 100

= 125

Concept: Application of Calculus in Commerce and Economics in the Profit Function and Breakeven Point
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