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We propose a minimal model for the cosmic coincidence problem $\Omega_{\rmDM}/\Omega_B \sim 5$ and neutrino mass in a type-II seesaw scenario. We extendthe standard model of particle physics with a $\rm SU(2)$ singlet leptonicDirac fermion $\chi$, which represents the candidate of dark matter (DM), andtwo triplet scalars $\Delta_{1,2}$ with hierarchical masses. In the earlyUniverse, the CP violating out-of-equilibrium decay of lightest $\Delta$generates a net $B-L$ asymmetry in the visible sector (comprising of SMfields), where $B$ and $L$ represents the total baryon and lepton numberrespectively. A part of this asymmetry gets transferred to the dark sector(comprising of DM $\chi$) through a dimension eight operator which conserves$B-L$. Above the electroweak phase transition, the $B-L$ asymmetry of thevisible sector gets converted to a net $B$-asymmetry by the $B+L$ violatingsphalerons, while the $B-L$ asymmetry of the dark sector remains untouchedwhich we see today as relics of DM. We show that the observed DM abundance canbe explained for a DM mass about 8 GeV. We then introduce an additional singletscalar field $\phi$ which mixes with the SM-Higgs to annihilate the symmetriccomponent of the DM resonantly which requires the singlet scalar mass to betwice the DM mass, {\it i.e.} around 16 GeV, which can be searched at colliderexperiments. In our model, the active neutrinos also get small masses by theinduced vacuum expectation value (vev) of the triplet scalars $\Delta_{1,2}$.In the later part of the paper we discuss all the constraints on modelparameters coming from invisible Higgs decay, Higgs signal strength, DM directdetection and relic density of DM.

Dark matter to baryon ratio from scalar triplets decay in type-II seesaw