Question
Using the simple aggregative method, calculate the index number for the given data.
| A | B | C | D | |
| $P_1$ | 15 | 22 | 20 | 27 |
| $P _0$ | 10 | 20 | 18 | 25 |
| A | B | C | D | |
| $P_1$ | 15 | 22 | 20 | 27 |
| $P _0$ | 10 | 20 | 18 | 25 |
Construction of Index Number
Here, we aggregate the current and the base year prices respectively and take the ratio of the two.
| Commodity | P0 (Base Year) | P1 (Current Year) |
| A | 10 | 15 |
| B | 20 | 22 |
| C | 18 | 20 |
| D | 25 | 27 |
| $\Sigma p_0=73$ | $\Sigma p_1=84$ |
$P_{01}=\frac{\Sigma p_1}{\Sigma p_0} \times 100 \Rightarrow P_{01}=\frac{84}{73} \times 100=115.07$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
|
Output (Units)
|
1
|
2
|
3
|
4
|
5
|
|
Total Cost (Rs.)
|
7
|
13
|
20
|
28
|
37
|
|
Total Revenue (Rs.)
|
7
|
14
|
21
|
28
|
35
|