Charge Sharing & Loss of Energy question from JEE Main 2025 (29 Jan, Shift 2)

A capacitor, $C_1 = 6\ \mu\text{F}$ is charged to a potential difference of $V_0 = 5\text{ V}$ using a 5V battery. The battery is removed and another capacitor, $C_2 = 12\ \mu\text{F}$ is inserted in place of the battery. When the switch 'S' is closed, the charge flows between the capacitors for some time until equilibrium condition is reached. What are the charges ($q_1$ and $q_2$) on the capacitors $C_1$ and $C_2$ when equilibrium condition is reached.