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

The correct answer is Option (3) → 125.1

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					$\sum p_0q_0 = 160$	$\sum p_1q_0= 200$	$\sum p_0q_1= 107$	$\sum p_1q_1= 134$

Dorbish-Bowley's Method:

$P_{01} = \frac{\frac{\sum p_1q_0}{\sum p_0q_0} + \frac{\sum p_1q_1}{\sum p_0q_1}}{2} \times 100$

$= \frac{\frac{200}{160} + \frac{134}{107}}{2} \times 100 = \frac{1.25 + 1.252}{2} \times 100$

$\frac{2.502}{2} \times 100= 125.1$