Various sources of rainfall other than monsoon are:
a. Local water bodies impacts the pressure and wind system leading to water evaporation effecting the rainfall.
b. Tropical cyclones are also a very heavy source of rainfall.
c. Due to formation of convective clouds, it might rain for a short period of time.
d. Dust storms also lowers the temperature and bring light rain and cool breeze in Northern India because:
The dust particles, alter the climate by intercepting sunlight intended for the surface.Due to the impact of an approaching western disturbance, the wind direction changes. The moist easterly wind was blows which increases the humidity levels and causes light rain.