Question

What is the base if the portion is $4,540 and the rate is 55%?

Answer 1

Rate is expressed as

`\begin{gathered} Rate=(Portion)/(Base) \\ where\text{ the rate is expressed in percentage} \end{gathered}`

Given that the portion is $4540 and the rate is 55%, let x represent the base.

Thus, we have

`\begin{gathered} 55\%=(4540)/(x) \\ \Rightarrow(55)/(100)=(4540)/(x) \\ cross-multiply, \\ 55x=454000 \\ divide\text{ both sides by the coefficient of x, which is 55} \\ (55x)/(55)=(454000)/(55) \\ \Rightarrow x=8254.54545 \end{gathered}`

Hence, the base is 8254.55 (nearest hundredth)