Given:
Profit= 98 Kina
Profit is equal to 4½% or 4.5% of the cost price
4.5%=0.045
To determine the cost price of the generator, we let x be the cost price of the generator.
Since the profit is equal to 4½% or 4.5% of the cost price, the equation is:
[tex]0.045x=98[/tex]Next, we get the value of x:
[tex]\begin{gathered} 0.045x=98 \\ \text{Simplify and rearrange} \\ x=\frac{98}{0.045} \\ x=2177.78\text{ Kina} \end{gathered}[/tex]Therefore, the cost price of the generator is 2177.78 Kina.