If the production of an item increased by JJ times in the year 2016 as

1.	If the production of an item increased by JJ times in the year 2016 as compared to the base year, find the index number of production for the year 2016.
Answer» Suppose the production of base year = 1 ∴ The production in the year 2016 = 1 + \((1\times\frac{9}{5}=1+\frac{9}{5})\) = \(\frac{14}{5}\) ∴ The index number of production for the year 2016 = \(\cfrac{\frac{14}{5}}{1}\times100\) = \(\frac{14}{5}\times100=280\)

If the production of an item increased by JJ times in the year 2016 as compared to the base year, find the index number of production for the year 2016.

Answer»

Suppose the production of base year = 1

∴ The production in the year 2016

= 1 + \((1\times\frac{9}{5}=1+\frac{9}{5})\) = \(\frac{14}{5}\)

∴ The index number of production for the year 2016

= \(\cfrac{\frac{14}{5}}{1}\times100\)

= \(\frac{14}{5}\times100=280\)