Question

Question #4 Want to make sure my work is correct and need help solving (d)

Answer 1

Old value=$8210.40

New value=$4500

`\begin{gathered} i)\text Absolute change=| \\ \text{Absolute change=}|4500-8210.40| \\ Absolute\text-3710.4 \\ \text{Absolute value=\$3710.4} \end{gathered}`
`\begin{gathered} ii)\text{ Relative change=}\frac{|New\text{ value-Old value}|}{\text{Old value}}*100 \\ R\mathrm{}C=(|4500-8210.40|)/(8210.40)*100 \\ R\mathrm{}C=(|-3710.4|)/(8210.40)*100 \\ R\mathrm{}C=(3710.4)/(8210.40)*100 \\ R\mathrm{}C=0.4519*100 \\ R\mathrm{}C=45.19 \end{gathered}`
`iii)\text{ The value of the copier has decreased by 45.19\%}`
`\begin{gathered} iv)\text{ }x\text{\% of \$8210.40 = \$4500} \\ (x)/(100)*8210.40=4500 \\ x=(4500*100)/(8210.40) \\ x=54.81\text{\%} \end{gathered}`

Hence, the current value of the copier is 54.8% of its purchase price.