Compute Fisher's Ideal Index No. Commodities Price (₹) Value Price (₹…

The correct answer is Option (3) → 190.81

For calculating base period and current period quantity we divide value by price.

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	5	8	8	5	64	40	40	25
B	8	8	12	14	96	64	168	112
C	10	12	22	6	264	120	132	60
D	12	12	26	8	312	144	208	96
E	16	18	30	10	540	288	300	160
					$\sum p_1​q_0= 1276$	$\sum p_0​q_0= 656$	$\sum p_1​q_1= 848$	$\sum p_0​q_1= 453$

Fisher's Method:

$P_{01} = \sqrt{\frac{\sum p_1q_0}{\sum p_0q_0} \times \frac{\sum p_1q_1}{\sum p_0q_1}} \times 100 = \sqrt{\frac{1276}{656} \times \frac{848}{453}} \times 100$

$= \sqrt{\frac{1082048}{297168}} \times 100$

$= \sqrt{3.641} \times 100 = 190.81$