Construct index number of price from the following date by using Fish…

The correct answer is Option (2) → 125.09

Commodities	$p_0$​	$q_0$​	$p_1$​	$q_1$​	$p_0​q_0$​	$p_1​q_0$​	$p_0​q_1$​	$p_1​q_1$​
A	2	8	4	6	16	32	12	24
B	5	10	6	5	50	60	25	30
C	4	14	5	10	56	70	40	50
D	2	19	2	15	38	38	30	30
Total					$\sum p_0q_0 = 160$	$\sum p_1q_0= 200$	$\sum p_0q_1= 107$	$\sum p_1q_1= 134$

Fisher's Method:

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

$= \sqrt{\frac{200}{160} \times \frac{134}{107}} \times 100= \sqrt{1.565} \times 100$

$=1.2509\times 100  = 125.09$