Using the following data, compute Fisher's Ideal Quantity Index Numbe…

The correct answer is Option (3) → 115.36

Commodity	$p_0$​	$q_0$​	$p_1$​	$q_1$​	$p_1​q_0$​	$p_0​q_0$​	$p_1​q_1$​	$p_0​q_1$​
A	12	20	15	25	300	240	375	300
B	10	08	16	10	128	80	160	100
C	15	02	12	01	24	30	12	15
D	60	01	65	01	65	60	65	60
E	03	02	10	01	20	06	10	03
Total					$\sum p_1q_0 = 537$	$\sum p_0q_0 = 416$	$\sum p_1q_1 = 622$	$\sum p_0q_1 = 478$

Fisher's Quantity Index Number ($Q_{01}$):

$Q_{01} = \sqrt{\frac{\sum q_1p_0}{\sum q_0p_0} \times \frac{\sum q_1p_1}{\sum q_0p_1}} \times 100$

$Q_{01} = \sqrt{\frac{478}{416} \times \frac{622}{537}} \times 100 \approx 115.36$