  To extract sum rules of CKM matrix elements, eigenvalue problems for
quasi-democratic mass matrices are solved in the first order perturbation
approximation with respect to small deviations from the democratic limit. Mass
spectra of up and down quark sectors and the CKM matrix are shown to have clear
and distinctive hierarchical structures. Numerical analysis shows that the
absolute values of calculated CKM matrix elements fit the experimental data
quite well. The order of the magnitude of the Jarlskog parameter is estimated
by the relation $|J| \approx \sqrt{2}(m_c/m_t + m_s/m_b)|V_{us}|^2|V_{cb}|/4$.
