here normal solubility of AgCl , S = sqrrt (Ksp) = 2 X 10 ^ -5 [normal refers to the solubility of AgCl, when no CaCl2 is present ]
now in the presence of Cl(-) ions from CaCl2, this solubilty will be depressed, while the concentration of Cl- will be due to both CaCl2 and AgCl...so the equilibrium will be like this
AgCl <====> Ag(+) + Cl (-)
S' S'+ 0.08
now S' (S'+0.08) = Ksp
here as u mst have noticed S <<< 0.1
and S' will even be more smaller than S, so S'<<<<<0.1, so we can neglect S' in (S'+0.08)
so the last equation reduces to
S' (0.08) = 4X 10-10
=> S' = 5 X 10-9