$A$ parallel plate capacitor has plates of area $A$ and a separation distance of $100 \ mm$. It contains two dielectric layers: one with a dielectric constant of $10$ and a thickness of $6 \ mm$,and another with a dielectric constant of $5$ and a thickness of $4 \ mm$. Find the capacitance of the capacitor.

• A
  $\frac{12}{35} \varepsilon_0 A$
• B
  $\frac{2}{3} \varepsilon_0 A$
• C
  $\frac{5000}{7} \varepsilon_0 A$
• D
  $1500 \varepsilon_0 A$