Two substances of densities P₁ and P₂ are mixed in equal volume and the relative density of mixture is 4. When they are mixed in equal masses, the relative density of the mixture is 3. The values of P₁ and P₂ are........

When two substances densities P₁ and P₂ are mixed in equal volume,

Then V x P1+V x P2=(V+V) x 4

or P1 + P2=8-------(i)

When they are mixed in equal masses,

m/P1 +m/P2=(m+m) / (P)

Or P=2 P1x P2 / (P1 +P2)

or 3=2 P1x P2 / 8

Or P1 x P2 =12 ----(ii)

Solving (i) and (ii),we get P1=6 and P2=2