ue:2013sja; @Haque:2013qta; @Chakraborty:2003uw; @Chakraborty:2001kx; @BLAIZOT2001143], pQCD [@Vuorinen:2002ue; @Toimela:1984xy; @PhysRevD.68.054017]. Ref. [@Haque:2018eph] calculates the second-order quark number susceptibility (QNS) considering different quark masses for $u$, $d$ and $s$ quark.

On the other hand, recent findings show that magnetic field of the order of $10^{18}$ Gauss can be created at the center of the fire ball by the charged spectator particles in non-central heavy-ion collisions [@SKOKOV_2009; @Kharzeev_2008]. The time varying magnetic field is created in a direction perpendicular to the reaction plane [@Shovkovy:2012zn; @DElia:2012ems; @Fukushima:2012vr; @Mueller:2014tea; @Miransky:2015ava] and its strength depends on the impact parameter. The strength of the magnetic field decreases after few fm$/c$ of the collision [@SKOKOV_2009]. Several activities are under way to study the properties of strongly interacting matter in presence of magnetic field. Effects like magnetic catalysis  [@Shovkovy:2012zn; @Gusynin:1994xp; @Gusynin:1995gt], inverse magnetic catalysis [@Bali:2011qj; @AYALA201699; @PhysRevD.90.036001; @PhysRevD.91.016002], chiral magnetic effect [@Fukushima:2008xe; @Kharzeev:2013ffa] in presence of magnetic field in non-central heavy-ion collision have been reported. Furthermore, various thermodynamic quantities [@Karmakar:2019tdp; @Bandyopadhyay:2017cle], transport coefficients [@Kurian:2018dbn; @Kurian:2017yxj], dilepton production rate [@Das:2019nzv; @Bandyopadhyay:2016fyd; @Bandyopadhyay_2017; @Chyi_2000; @PhysRevC.88.024910; @Ghosh:2018xhh], photon production rate [@PhysRevLett.110.192301; @PhysRevLett.109.202303] and damping of photon [@Ghosh:2019kmf] of magnetised QCD matter have been obtained.

Here for simplicity, we consider strong ($gT<T<\sqrt{|eB|}$) and weak ($\sqrt{|q_fB|}<m_{th}\sim gT<T $ ) magnetic field with two different scale hierarchies. As a first effort in this article we, using the one-loop HTL pressure of quarks and gluons at finite quark chemical 