If two liquids of same volume but different densities ${\rho _1}$ and ${\rho _2}$ are mixed, then density of mixture is given by
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(a) $\rho = \frac{{{\rm{Total mass}}}}{{{\rm{Total volume }}}} = \frac{{{m_1} + {m_2}}}{{2V}} = \frac{{V\left( {{\rho _1} + {\rho _2}} \right)}}{{2V}}$$ = \frac{{{\rho _1} + {\rho _2}}}{2}$
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