If two liquids of same masses but densities ${\rho _1}$ and ${\rho _2}$ respectively are mixed, then density of mixture is given by
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(c)$\rho = \frac{{{\rm{Total mass}}}}{{{\rm{Total volume }}}} = \frac{{2m}}{{{V_1} + {V_2}}} = \frac{{2m}}{{m\,\left( {\frac{1}{{{\rho _1}}} + \frac{1}{{{\rho _2}}}} \right)}}$
$>$ $\rho = \frac{{2{\rho _1}{\rho _2}}}{{{\rho _1} + {\rho _2}}}$
$>$ $\rho = \frac{{2{\rho _1}{\rho _2}}}{{{\rho _1} + {\rho _2}}}$
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