From the following table calculate quantity index numbers for 2015 with quantities in 2013 as base. Use Simple aggregative Method.
|
Commodities |
A |
B |
C |
D |
E |
|
Units |
Kg. | Kg. | Kg. | Kg. | Kg. |
|
Quantity (2013) |
12 |
15 |
18 |
20 |
30 |
|
Quantity (2015) |
24 |
30 |
27 |
25 |
30 |
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 143.16
|
Commodities |
Unit |
Quantity in 2013 ($q_0$) |
Quantity in 2015 ($q_1$) |
Quantity Relatives $QR=\frac{q_1}{q_0}×100$ |
|
A |
Kg. |
12 |
24 |
$\frac{2400}{12} = 200$ |
|
B |
Kg. |
15 |
30 |
$\frac{3000}{15} = 200$ |
|
C |
Kg. |
18 |
27 |
$\frac{2700}{18} = 150$ |
|
D |
Kg. |
20 |
25 |
$\frac{2500}{20} = 125$ |
|
E |
Kg. |
30 |
30 |
$\frac{3000}{30} = 100$ |
|
|
|
$\sum q_0 = 95$ |
$\sum q_1 = 136$ |
|
Final Calculation
Using Simple Aggregative Method:
$Q_{01} = \frac{\sum q_1}{\sum q_0} \times 100$
$= \frac{136 \times 100}{95} = 143.16$