A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The expenditure on labour in $2012$ is Rs. $4,50,000$. In $2013$, the raw material expenses increased by $30$% and all other expenses increased by $20$%. If the company registered a profit of Rs. $10$ lakhs in $2012$, at what price (in $Rs$.) was each air purifier sold?
