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Exercises · Q9

Q.Using the base-year quantities q0q_0 (5, 4, 3, 2) and current-year quantities q1q_1 (6, 5, 4, 3) for Commodities A, B, C, D from the earlier worked examples, calculate the Simple Aggregative Quantity Index Number.

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Step 1 — Total the base-year and current-year quantities.

Σq0=5+4+3+2=14,Σq1=6+5+4+3=18\Sigma q_0=5+4+3+2=14, \qquad \Sigma q_1=6+5+4+3=18

Step 2 — Apply the formula.

Q01=Σq1Σq0×100=1814×100=128.57Q_{01}=\dfrac{\Sigma q_1}{\Sigma q_0}\times100=\dfrac{18}{14}\times100=128.57 …

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