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Index Numbers — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsIndex Numbers4 Marks
Question
Construct Index Number by Paasche’s method:
Commodity Year 2005 Year 2006
Price Quantity Price Quantity
A 2 8 4 6
B 5 10 6 5
C 4 14 5 10
D 2 19 2 13
✓

Answer

Commodity $p_0$ $q_0$ $p_1$ $q_1$ $p_0q_1$ $p_1q_1$
A 2 8 4 6 12 24
B 5 10 6 5 25 30
C 4 14 5 10 40 50
D 2 19 2 13 26 26
          $\Sigma\text{p}_0\text{q}_1=103$ $\Sigma\text{p}_1\text{q}_1=130$
Paasches's Method $\text{P}_{01}=\frac{\Sigma\text{p}_1\text{q}_1}{\Sigma\text{p}_0\text{q}_1}\times100$
$=\frac{130}{103}\times100=126.21$

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