Question

Construct index number of industrial production in the year 2018 from the following data on the basis of 2005's production:

Industry	Units	2005	2018	Weight
Electrical and Electronics Metallurgical Mechanical Mining Textiles Miscellaneous	Mill. Nos. Th. Tonnes Th. Tonnes Th. Tonnes Mill. Mtrs. Th. Tonnes	12 22 72 100 60 123	70 37 105 123 130 270	36 12 10 22 8 12

Answer 1

Industry	q0	q1	Weight (W)	$R=\frac{q_1}{q_0}\times 100$	WR
Electronics	12	70	36	$\frac{70}{12}\times 100=583.33$	20999.88
Metallurgical	22	37	12	$\frac{37}{22}\times 100=168.18$	2018.16
Mechanical	72	105	10	$\frac{105}{72}\times 100=145.83$	1458.3
Mining	100	123	22	$\frac{123}{100}\times 100=123$	2706
Textiles	60	130	8	$\frac{130}{60}\times 100=216.67$	1733.36
Misce.	123	270	12	$\frac{270}{123}\times 100=219.51$	2634.12
			∑W = 100		∑ WR = 31549.82

Index number of Industrial Production
$$\begin{gathered} \mathrm{IIP}=\frac{\sum WR}{\sum W} \\ \mathrm{or},\mathrm{IIP}=\frac{31549.82}{100}=315.50 \end{gathered}$$