Construct Fisher’s price index for the data below: Commodity Price 20…

The correct answer is Option (3) → 139.78

Commodity	$p_0$​	$q_0$​	$p_1$​	$q_1$​	$p_0​q_0$​	$p_1​q_0$​	$p_0​q_1$​	$p_1​q_1$​
A	6	50	10	56	300	500	336	560
B	2	100	2	120	200	200	240	240
C	4	60	6	60	240	360	240	360
D	10	30	12	24	300	360	240	288
E	8	40	12	36	320	480	288	432
Total					$\sum p_0q_0 = 1360$	$\sum p_1q_0 = 1900$	$\sum p_0q_1 = 1344$	$\sum p_1q_1 = 1880$

Fisher's Index Number:

$P_{01} = \sqrt{\frac{\sum p_1q_0}{\sum p_0q_0} \times \frac{\sum p_1q_1}{\sum p_0q_1}} \times 100 = \sqrt{\frac{1900}{1360} \times \frac{1880}{1344}} \times 100$

$= \sqrt{1.397 \times 1.398} \times 100 = 139.78$