Consider the following table:
The weighted aggregative price index number for year 2006 with year 2002 as base year using Laspeyre's index number is: |
$\frac{3150}{24}$ 134 136 $\frac{3160}{23}$ |
136 |
The correct answer is Option (3) → 136 $\text{Laspeyres index} = \frac{\sum p_1 q_0}{\sum p_0 q_0} \times 100$ $\sum p_1 q_0 = 280\cdot30 + 200\cdot20 + 120\cdot20 + 100\cdot10$ $= 8400 + 4000 + 2400 + 1000 = 15800$ $\sum p_0 q_0 = 200\cdot30 + 100\cdot20 + 150\cdot20 + 50\cdot10$ $= 6000 + 2000 + 3000 + 500 = 11500$ $P_{01} = \frac{15800}{11500} \times 100$ $= 137.39$ The Laspeyres index number is $137.39$. |