Given:
Total money win is $200,000.
[tex]\begin{gathered} B\text{alance amount after the tax paid=200,000}\times\frac{70}{100} \\ B\text{alance amount after the tax paid=}140,000 \end{gathered}[/tex]
Let the amount invested at 1.5% be x
[tex]\begin{gathered} (x\times\frac{1.5}{100})+(\lbrack140,000-x\rbrack\times\frac{4}{100})=4250 \\ \frac{1.5x+560,000-4x}{100}=4250 \\ -2.5x+560,000=425,000 \\ -2.5x=425,000-560,000 \\ -2.5x=-135,000 \\ 2.5x=135,000 \\ x=\frac{135,000}{2.5} \\ x=54000 \end{gathered}[/tex][tex]\text{Amount invested in 1.5\% =\$54000}[/tex][tex]\begin{gathered} \text{Amount invested in 4\%=140,000-54000} \\ \text{Amount invested in 4\%}=\text{ \$}86000 \end{gathered}[/tex]
