Answer the following question based on the information given below.
The figures below present annual growth rate, expressed as the $\%$ change relative to the previous year, in four sectors of the economy of the Republic of Reposia during the $9$ year period from $1990$ to $1998.$ Assume that the index of production for each of the four sectors is set at $100$ in $1989.$ Further, the four sectors manufacturing, mining and quarrying, electricity, and chemicals, respectively, constituted $20\%, 15\%, 10\%$ and $15\%$ of total industrial production in $1989.$
The percentage increase of production in the four sectors, namely, manufacturing, mining & quarrying, electricity and chemicals, taken together, in $1994,$ relative to $1989,$ is approximately
- $25$
- $20$
- $50$
- $40$